Exercitii rezolvate clasa a Va 5a24

>> DOWNLOAD LINK 🎞️ #1 <<

>> DOWNLOAD LINK 🎞️ #2 <<

>> COPY / PASTE LINK PLEASE 🎵 MP3 <<

>> YOUR LINK HERE: ___ http://youtube.com/watch?v=lnAWv7O4zVA

Exercitii rezolvate Lectii video de matematica din materia claselor 5-12. In cele peste 600 de videoclipuri ale canalului veti gasi atat definitii, proprietati, formule utile cat si exercitii rezolvate, probleme rezolvate, subiecte sau modele de bacalaureat si evaluare nationala. • Am adaugat recent mai multe subiecte, modele si variante rezolvate pentru o pregatire aprofundata si de calitate a examenelor de bacaluareat M1, M2 sau de evaluare nationala. Adaugam in mod constant alte lectii si implicit se vor adauga subiectele examenelor in anii anteriori, incercand a se merge cat mai departe in timp. • De asemenea ce veti gasi intre lectiile noastre si subiecte rezolvate de la olimpiadele de matematica din editiile urmatoare, etapele locala, judeteana, nationala pentru toate clasele. Ne propunem sa avem materiale pentru toate categoriile de elevi, atat cei de nivel mediu cat si cei capabili si dornici de performanta. • Exercitii rezolvate si probleme rezolvate adaugam constant. Proiectul desigur este un continuu efort de acoperire a unei materii vaste, iar daca simtiti ca ceva lipseste, puteti sa ne comunicati. Incercam cu acest proiect sa raspundem cat mai punctual nevoilor elevilor, deci orice feedback ajuta. • Astfel, ne propunem un studiu al matematicii de la numere naturale, numere rationale, numere irationale, numere reale, ecuatii si inecuatii, probleme de pus ion ecuatie, operatii cu multimi, geometrie plana pana la geometrie in spatiu, functii si dependente functionale, calcul algebric, rapoarte de numere reale reprezentate prin litere, ecuatii de gradul II si asa mai departe. • Vizionare placuta si succes in studiu! Am adaugat recent mai multe subiecte, modele si variante rezolvate pentru o pregatire aprofundata si de calitate a examenelor de bacaluareat M1, M2 sau de evaluare nationala. Adaugam in mod constant alte lectii si implicit se vor adauga subiectele examenelor din anii anteriori (avem deja cateva), incercand a se merge cat mai departe in timp. • De asemenea ce veti gasi intre lectiile noastre si subiecte rezolvate de la olimpiadele de matematica din editiile anterioare, etapele locala, judeteana, nationala pentru toate clasele. Ne propunem sa avem materiale pentru toate categoriile de elevi, atat cei de nivel mediu cat si cei capabili si dornici de performanta. • Exercitii rezolvate si probleme rezolvate adaugam constant. Proiectul desigur este un continuu efort de acoperire a unei materii vaste, iar daca simtiti ca ceva lipseste, puteti sa ne comunicati. Incercam cu acest proiect sa raspundem cat mai punctual nevoilor elevilor, deci orice feedback ajuta. • Astfel, ne propunem un studiu al matematicii de la numere naturale, numere rationale, numere irationale, numere reale, ecuatii si inecuatii, probleme de pus in ecuatie, operatii cu multimi, geometrie plana pana la geometrie in spatiu, functii si dependente functionale, calcul algebric, rapoarte de numere reale reprezentate prin litere, ecuatii de gradul II si asa mai departe. • Avem suficiente exemple, exercitii si probleme rezolvate de divizibilitate in multimea numerelor naturale, criterii de divizibilitate, reguli de calcul cu puteri, formulele specifice, ordinea efectuarii operatiilor, fractii ordinare si fractii zecimale, operatii cu fractii, simplificare si amplificare, fractii ireductibile, fractii zecimale periodice si periodice mixte, elemente de geometrie si unitati de masura pentru lungimi, timp, volum, arii etc. De asemenea acoperim in buna masura geometria plana de la segment, lungimea unui segment, unghiuri si masuri de unghiuri, congruenta triunghiurilor si proprietatile triunghiurilor, pana la patrulatere, patrulatere particulare (paralelogram, dreptunghi, romb, patrat), teorema lui thales, teorema fundamentala a asemanarii, teorema lui pitagora, teorema bisectoarei si altele. Suficiente exemple fiind un fel de a spune, nu suntem multumiti niciodata, continuam zilnic sa lucram la altele. • Vizionare placuta si succes in studiu!","styleRuns":[{"startIndex":0,"length":3984,"styleRunExtensions":{"styleRunColorMapExtension":{"colorMap":[{"key":"USER_INTERFACE_THEME_DARK","value":4294967295},{"key":"USER_INTERFACE_THEME_LIGHT","value":4279440147}]}},"fontFamilyName":"Roboto"}]},"headerRuns":[{"startIndex":0,"length":3984,"headerMapping":"ATTRIBUTED_STRING_HEADER_MAPPING_UNSPECIFIED"}]}},{"itemSectionRenderer":{"contents":[{"continuationItemRenderer":{"trigger":"CONTINUATION_TRIGGER_ON_ITEM_SHOWN","continuationEndpoint":{"clickTrackingParams":"CMQBELsvGAIiEwj-wKOVjc2LAxV1wkIFHfMqCaI=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/next"}},"continuationCommand":{"token":"Eg0SC2xuQVd2N080elZBGAYyJSIRIgtsbkFXdjdPNHpWQTAAeAJCEGNvbW1lbnRzLXNlY3Rpb24%3D","request":"CONTINUATION_REQUEST_TYPE_WATCH_NEXT"}}}}],"trackingParams":"CMQBELsvGAIiEwj-wKOVjc2LAxV1wkIFHfMqCaI=","sectionIdentifier":"comment-item-section","targetId":"comments-section"}}],"trackingParams":"CMMBELovIhMI_sCjlY3NiwMVdcJCBR3zKgmi"}},"secondaryResults":{"secondaryResults":{"results":[{"compactVideoRenderer":{"videoId":"iTfkS7EO1FA","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/iTfkS7EO1FA/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLDqigv6snkz8cmOaXpbPP-KoFQ3dw","width":168,"height":94},{"url":"https://i.ytimg.com/vi/iTfkS7EO1FA/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLAR5CA8CklBIUifE5lVvS6yr1ybPA","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Exercitii rezolvate - Scrierea si citirea numerelor naturale (Matematica, clasa 5) by Matematica PDR 11,196 views 11 years ago 10 minutes, 10 seconds"}},"simpleText":"Exercitii rezolvate - Scrierea si citirea numerelor naturale (Matematica, clasa 5)"},"longBylineText":{"runs":[{"text":"Matematica PDR","navigationEndpoint":{"clickTrackingParams":"CLwBEKQwGAAiEwj-wKOVjc2LAxV1wkIFHfMqCaIyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@mathpdr","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCV0NqHo4V2HGmZGwcyGXUGA","canonicalBaseUrl":"/@mathpdr"}}}]},"publishedTimeText":{"simpleText":"11 years ago"},"viewCountText":{"simpleText":"11,196 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"10 minutes, 10 seconds"}},"simpleText":"10:10"},"navigationEndpoint":{"clickTrackingParams":"CLwBEKQwGAAiEwj-wKOVjc2LAxV1wkIFHfMqCaIyB3JlbGF0ZWRI0JrjnfvXhbiWAZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=iTfkS7EO1FA","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"iTfkS7EO1FA","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr1---sn-nv47zne7.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=8937e44bb10ed450 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1296250 mt=1739877191 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"Matematica PDR","navigationEndpoint":{"clickTrackingParams":"CLwBEKQwGAAiEwj-wKOVjc2LAxV1wkIFHfMqCaIyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@mathpdr","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCV0NqHo4V2HGmZGwcyGXUGA","canonicalBaseUrl":"/@mathpdr"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/MJL7NQxNYazgJdDFm6PLI0aSv4e2T6ceWWkABAhbGe9G9LOme6jpbUp0GRFWFvnrcvFNPLr9=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CLwBEKQwGAAiEwj-wKOVjc2LAxV1wkIFHfMqCaJA0Ki7iLuJ-ZuJAQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"11K views"}},"simpleText":"11K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CMEBEP6YBBgFIhMI_sCjlY3NiwMVdcJCBR3zKgmi","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CMEBEP6YBBgFIhMI_sCjlY3NiwMVdcJCBR3zKgmi","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"iTfkS7EO1FA","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CMEBEP6YBBgFIhMI_sCjlY3NiwMVdcJCBR3zKgmi","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["iTfkS7EO1FA"],"params":"CAQ%3D"}},"videoIds":["iTfkS7EO1FA"]}},{"clickTrackingParams":"CMEBEP6YBBgFIhMI_sCjlY3NiwMVdcJCBR3zKgmi","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CMIBELlqIhMI_sCjlY3NiwMVdcJCBR3zKgmi"}},"popupType":"TOAST"}}]}},"trackingParams":"CMEBEP6YBBgFIhMI_sCjlY3NiwMVdcJCBR3zKgmi"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CMABENGqBRgGIhMI_sCjlY3NiwMVdcJCBR3zKgmi","offlineVideoEndpoint":{"videoId":"iTfkS7EO1FA","onAddCommand":{"clickTrackingParams":"CMABENGqBRgGIhMI_sCjlY3NiwMVdcJCBR3zKgmi","getDownloadActionCommand":{"videoId":"iTfkS7EO1FA","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CMABENGqBRgGIhMI_sCjlY3NiwMVdcJCBR3zKgmi"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CLwBEKQwGAAiEwj-wKOVjc2LAxV1wkIFHfMqCaI=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtpVGZrUzdFTzFGQQ%3D%3D","commands":[{"clickTrackingParams":"CLwBEKQwGAAiEwj-wKOVjc2LAxV1wkIFHfMqCaI=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CL8BEI5iIhMI_sCjlY3NiwMVdcJCBR3zKgmi","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CLwBEKQwGAAiEwj-wKOVjc2LAxV1wkIFHfMqCaI=","hasSeparator":true}}],"trackingParams":"CLwBEKQwGAAiEwj-wKOVjc2LAxV1wkIFHfMqCaI=","accessibility":{"accessibilityData":{"label":"Action menu"}},"targetId":"watch-related-menu-button"}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"10 minutes, 10 seconds"}},"simpleText":"10:10"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CL4BEPnnAxgBIhMI_sCjlY3NiwMVdcJCBR3zKgmi","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"iTfkS7EO1FA","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CL4BEPnnAxgBIhMI_sCjlY3NiwMVdcJCBR3zKgmi","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"iTfkS7EO1FA"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CL4BEPnnAxgBIhMI_sCjlY3NiwMVdcJCBR3zKgmi"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CL0BEMfsBBgCIhMI_sCjlY3NiwMVdcJCBR3zKgmi","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CL0BEMfsBBgCIhMI_sCjlY3NiwMVdcJCBR3zKgmi","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"iTfkS7EO1FA","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CL0BEMfsBBgCIhMI_sCjlY3NiwMVdcJCBR3zKgmi","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["iTfkS7EO1FA"],"params":"CAQ%3D"}},"videoIds":["iTfkS7EO1FA"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CL0BEMfsBBgCIhMI_sCjlY3NiwMVdcJCBR3zKgmi"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"Exercitii rezolvate - Scrierea si citirea numerelor naturale (Matematica, clasa 5) - 10 minutes, 10 seconds - Go to channel - Matematica PDR - 11K views - 11 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"JHGgjc0I0gk","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/JHGgjc0I0gk/hqdefault.jpg?sqp=-oaymwE1CKgBEF5IVfKriqkDKAgBFQAAiEIYAXABwAEG8AEB-AG-B4AC0AWKAgwIABABGGYgZihmMA8= rs=AOn4CLBZlKOxrVCeYNZs4rdjcPwT-uFAew","width":168,"height":94},{"url":"https://i.ytimg.com/vi/JHGgjc0I0gk/hqdefault.jpg?sqp=-oaymwE2CNACELwBSFXyq4qpAygIARUAAIhCGAFwAcABBvABAfgBvgeAAtAFigIMCAAQARhmIGYoZjAP rs=AOn4CLCyUrytcXycPbT_agRoPXYWTHsZYA","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Olimpiada locala de matematica, Cluj 2014, clasa a VI-a by Matematica PDR 22,129 views 10 years ago 15 minutes"}},"simpleText":"Olimpiada locala de matematica, Cluj 2014, clasa a VI-a"},"longBylineText":{"runs":[{"text":"Matematica PDR","navigationEndpoint":{"clickTrackingParams":"CLUBEKQwGAEiEwj-wKOVjc2LAxV1wkIFHfMqCaIyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@mathpdr","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCV0NqHo4V2HGmZGwcyGXUGA","canonicalBaseUrl":"/@mathpdr"}}}]},"publishedTimeText":{"simpleText":"10 years ago"},"viewCountText":{"simpleText":"22,129 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"15 minutes, 30 seconds"}},"simpleText":"15:30"},"navigationEndpoint":{"clickTrackingParams":"CLUBEKQwGAEiEwj-wKOVjc2LAxV1wkIFHfMqCaIyB3JlbGF0ZWRI0JrjnfvXhbiWAZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=JHGgjc0I0gk","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"JHGgjc0I0gk","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr4---sn-uxaxiv0nxx5q-nv4l.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=2471a08dcd08d209 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=786250 mt=1739877191 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"Matematica PDR","navigationEndpoint":{"clickTrackingParams":"CLUBEKQwGAEiEwj-wKOVjc2LAxV1wkIFHfMqCaIyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@mathpdr","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCV0NqHo4V2HGmZGwcyGXUGA","canonicalBaseUrl":"/@mathpdr"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/MJL7NQxNYazgJdDFm6PLI0aSv4e2T6ceWWkABAhbGe9G9LOme6jpbUp0GRFWFvnrcvFNPLr9=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CLUBEKQwGAEiEwj-wKOVjc2LAxV1wkIFHfMqCaJAiaSj6NyR6Lgk","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"22K views"}},"simpleText":"22K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CLoBEP6YBBgFIhMI_sCjlY3NiwMVdcJCBR3zKgmi","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLoBEP6YBBgFIhMI_sCjlY3NiwMVdcJCBR3zKgmi","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"JHGgjc0I0gk","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLoBEP6YBBgFIhMI_sCjlY3NiwMVdcJCBR3zKgmi","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["JHGgjc0I0gk"],"params":"CAQ%3D"}},"videoIds":["JHGgjc0I0gk"]}},{"clickTrackingParams":"CLoBEP6YBBgFIhMI_sCjlY3NiwMVdcJCBR3zKgmi","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CLsBELlqIhMI_sCjlY3NiwMVdcJCBR3zKgmi"}},"popupType":"TOAST"}}]}},"trackingParams":"CLoBEP6YBBgFIhMI_sCjlY3NiwMVdcJCBR3zKgmi"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CLkBENGqBRgGIhMI_sCjlY3NiwMVdcJCBR3zKgmi","offlineVideoEndpoint":{"videoId":"JHGgjc0I0gk","onAddCommand":{"clickTrackingParams":"CLkBENGqBRgGIhMI_sCjlY3NiwMVdcJCBR3zKgmi","getDownloadActionCommand":{"videoId":"JHGgjc0I0gk","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CLkBENGqBRgGIhMI_sCjlY3NiwMVdcJCBR3zKgmi"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CLUBEKQwGAEiEwj-wKOVjc2LAxV1wkIFHfMqCaI=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtKSEdnamMwSTBnaw%3D%3D","commands":[{"clickTrackingParams":"CLUBEKQwGAEiEwj-wKOVjc2LAxV1wkIFHfMqCaI=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CLgBEI5iIhMI_sCjlY3NiwMVdcJCBR3zKgmi","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CLUBEKQwGAEiEwj-wKOVjc2LAxV1wkIFHfMqCaI=","hasSeparator":true}}],"trackingParams":"CLUBEKQwGAEiEwj-wKOVjc2LAxV1wkIFHfMqCaI=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"15 minutes, 30 seconds"}},"simpleText":"15:30"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CLcBEPnnAxgBIhMI_sCjlY3NiwMVdcJCBR3zKgmi","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"JHGgjc0I0gk","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CLcBEPnnAxgBIhMI_sCjlY3NiwMVdcJCBR3zKgmi","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"JHGgjc0I0gk"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CLcBEPnnAxgBIhMI_sCjlY3NiwMVdcJCBR3zKgmi"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CLYBEMfsBBgCIhMI_sCjlY3NiwMVdcJCBR3zKgmi","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLYBEMfsBBgCIhMI_sCjlY3NiwMVdcJCBR3zKgmi","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"JHGgjc0I0gk","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLYBEMfsBBgCIhMI_sCjlY3NiwMVdcJCBR3zKgmi","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["JHGgjc0I0gk"],"params":"CAQ%3D"}},"videoIds":["JHGgjc0I0gk"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CLYBEMfsBBgCIhMI_sCjlY3NiwMVdcJCBR3zKgmi"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"Olimpiada locala de matematica, Cluj 2014, clasa a VI-a - 15 minutes - Go to channel - Matematica PDR - 22K views - 10 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"qdWA5cIreTw","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/qdWA5cIreTw/hqdefault.jpg?sqp=-oaymwE1CKgBEF5IVfKriqkDKAgBFQAAiEIYAXABwAEG8AEB-AH-CYAC0AWKAgwIABABGGUgTyg7MA8= rs=AOn4CLDL_VRK9-PN-Z5sKhlou22zsyg4Pw","width":168,"height":94},{"url":"https://i.ytimg.com/vi/qdWA5cIreTw/hqdefault.jpg?sqp=-oaymwE2CNACELwBSFXyq4qpAygIARUAAIhCGAFwAcABBvABAfgB_gmAAtAFigIMCAAQARhlIE8oOzAP rs=AOn4CLD-LA4cDSHnThgNhwPUQ4J0DHmOQQ","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Ecuatii exponentiale - Test clasa a X-a (Mate-info si stiinte) by Matematica PDR 453 views 3 weeks ago 28 minutes"}},"simpleText":"Ecuatii exponentiale - Test clasa a X-a (Mate-info si stiinte)"},"longBylineText":{"runs":[{"text":"Matematica PDR","navigationEndpoint":{"clickTrackingParams":"CK4BEKQwGAIiEwj-wKOVjc2LAxV1wkIFHfMqCaIyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@mathpdr","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCV0NqHo4V2HGmZGwcyGXUGA","canonicalBaseUrl":"/@mathpdr"}}}]},"publishedTimeText":{"simpleText":"3 weeks ago"},"viewCountText":{"simpleText":"453 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"28 minutes, 3 seconds"}},"simpleText":"28:03"},"navigationEndpoint":{"clickTrackingParams":"CK4BEKQwGAIiEwj-wKOVjc2LAxV1wkIFHfMqCaIyB3JlbGF0ZWRI0JrjnfvXhbiWAZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=qdWA5cIreTw","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"qdWA5cIreTw","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr2---sn-uxaxiv0nxx5q-nv4l.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=a9d580e5c22b793c ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=786250 mt=1739877191 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"Matematica PDR","navigationEndpoint":{"clickTrackingParams":"CK4BEKQwGAIiEwj-wKOVjc2LAxV1wkIFHfMqCaIyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@mathpdr","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCV0NqHo4V2HGmZGwcyGXUGA","canonicalBaseUrl":"/@mathpdr"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/MJL7NQxNYazgJdDFm6PLI0aSv4e2T6ceWWkABAhbGe9G9LOme6jpbUp0GRFWFvnrcvFNPLr9=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CK4BEKQwGAIiEwj-wKOVjc2LAxV1wkIFHfMqCaJAvPKtkdyc4OqpAQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"453 views"}},"simpleText":"453 views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CLMBEP6YBBgFIhMI_sCjlY3NiwMVdcJCBR3zKgmi","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLMBEP6YBBgFIhMI_sCjlY3NiwMVdcJCBR3zKgmi","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"qdWA5cIreTw","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLMBEP6YBBgFIhMI_sCjlY3NiwMVdcJCBR3zKgmi","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["qdWA5cIreTw"],"params":"CAQ%3D"}},"videoIds":["qdWA5cIreTw"]}},{"clickTrackingParams":"CLMBEP6YBBgFIhMI_sCjlY3NiwMVdcJCBR3zKgmi","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CLQBELlqIhMI_sCjlY3NiwMVdcJCBR3zKgmi"}},"popupType":"TOAST"}}]}},"trackingParams":"CLMBEP6YBBgFIhMI_sCjlY3NiwMVdcJCBR3zKgmi"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CLIBENGqBRgGIhMI_sCjlY3NiwMVdcJCBR3zKgmi","offlineVideoEndpoint":{"videoId":"qdWA5cIreTw","onAddCommand":{"clickTrackingParams":"CLIBENGqBRgGIhMI_sCjlY3NiwMVdcJCBR3zKgmi","getDownloadActionCommand":{"videoId":"qdWA5cIreTw","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CLIBENGqBRgGIhMI_sCjlY3NiwMVdcJCBR3zKgmi"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CK4BEKQwGAIiEwj-wKOVjc2LAxV1wkIFHfMqCaI=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtxZFdBNWNJcmVUdw%3D%3D","commands":[{"clickTrackingParams":"CK4BEKQwGAIiEwj-wKOVjc2LAxV1wkIFHfMqCaI=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CLEBEI5iIhMI_sCjlY3NiwMVdcJCBR3zKgmi","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CK4BEKQwGAIiEwj-wKOVjc2LAxV1wkIFHfMqCaI=","hasSeparator":true}}],"trackingParams":"CK4BEKQwGAIiEwj-wKOVjc2LAxV1wkIFHfMqCaI=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"28 minutes, 3 seconds"}},"simpleText":"28:03"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CLABEPnnAxgBIhMI_sCjlY3NiwMVdcJCBR3zKgmi","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"qdWA5cIreTw","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CLABEPnnAxgBIhMI_sCjlY3NiwMVdcJCBR3zKgmi","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"qdWA5cIreTw"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CLABEPnnAxgBIhMI_sCjlY3NiwMVdcJCBR3zKgmi"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CK8BEMfsBBgCIhMI_sCjlY3NiwMVdcJCBR3zKgmi","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CK8BEMfsBBgCIhMI_sCjlY3NiwMVdcJCBR3zKgmi","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"qdWA5cIreTw","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CK8BEMfsBBgCIhMI_sCjlY3NiwMVdcJCBR3zKgmi","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["qdWA5cIreTw"],"params":"CAQ%3D"}},"videoIds":["qdWA5cIreTw"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CK8BEMfsBBgCIhMI_sCjlY3NiwMVdcJCBR3zKgmi"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"Ecuatii exponentiale - Test clasa a X-a (Mate-info si stiinte) - 28 minutes - Go to channel - Matematica PDR - 453 views - 3 weeks ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"jGy4dQiRHPU","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/jGy4dQiRHPU/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLD-pNRMs5nnLKmxHAGw3IgAyMx21A","width":168,"height":94},{"url":"https://i.ytimg.com/vi/jGy4dQiRHPU/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLAH1VT3sYIhqyDSX-CoM33Ci--ogA","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Iubesc matematica - 2025 exercitii - 006 by Iubesc matematica 51 views 8 days ago 21 minutes"}},"simpleText":"Iubesc matematica - 2025 exercitii - 006"},"longBylineText":{"runs":[{"text":"Iubesc matematica","navigationEndpoint":{"clickTrackingParams":"CKcBEKQwGAMiEwj-wKOVjc2LAxV1wkIFHfMqCaIyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@iubescmatematica6021","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCKWC5sQkG8wHfRgZYQSlitg","canonicalBaseUrl":"/@iubescmatematica6021"}}}]},"publishedTimeText":{"simpleText":"8 days ago"},"viewCountText":{"simpleText":"51 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"21 minutes, 34 seconds"}},"simpleText":"21:34"},"navigationEndpoint":{"clickTrackingParams":"CKcBEKQwGAMiEwj-wKOVjc2LAxV1wkIFHfMqCaIyB3JlbGF0ZWRI0JrjnfvXhbiWAZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=jGy4dQiRHPU","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"jGy4dQiRHPU","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr1---sn-uxaxiv0nxx5q-nv4l.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=8c6cb87508911cf5 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=786250 mt=1739877191 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"Iubesc matematica","navigationEndpoint":{"clickTrackingParams":"CKcBEKQwGAMiEwj-wKOVjc2LAxV1wkIFHfMqCaIyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@iubescmatematica6021","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCKWC5sQkG8wHfRgZYQSlitg","canonicalBaseUrl":"/@iubescmatematica6021"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/RtHFoq7dHu97_Q3KQoag-q-DTyrES0_u28JVpLBZxAA2eD-4ND8Z4ijClaHPYTb0apBniXijgw=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CKcBEKQwGAMiEwj-wKOVjc2LAxV1wkIFHfMqCaJA9bnExNCOrraMAQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"51 views"}},"simpleText":"51 views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CKwBEP6YBBgFIhMI_sCjlY3NiwMVdcJCBR3zKgmi","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CKwBEP6YBBgFIhMI_sCjlY3NiwMVdcJCBR3zKgmi","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"jGy4dQiRHPU","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CKwBEP6YBBgFIhMI_sCjlY3NiwMVdcJCBR3zKgmi","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["jGy4dQiRHPU"],"params":"CAQ%3D"}},"videoIds":["jGy4dQiRHPU"]}},{"clickTrackingParams":"CKwBEP6YBBgFIhMI_sCjlY3NiwMVdcJCBR3zKgmi","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CK0BELlqIhMI_sCjlY3NiwMVdcJCBR3zKgmi"}},"popupType":"TOAST"}}]}},"trackingParams":"CKwBEP6YBBgFIhMI_sCjlY3NiwMVdcJCBR3zKgmi"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CKsBENGqBRgGIhMI_sCjlY3NiwMVdcJCBR3zKgmi","offlineVideoEndpoint":{"videoId":"jGy4dQiRHPU","onAddCommand":{"clickTrackingParams":"CKsBENGqBRgGIhMI_sCjlY3NiwMVdcJCBR3zKgmi","getDownloadActionCommand":{"videoId":"jGy4dQiRHPU","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CKsBENGqBRgGIhMI_sCjlY3NiwMVdcJCBR3zKgmi"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CKcBEKQwGAMiEwj-wKOVjc2LAxV1wkIFHfMqCaI=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtqR3k0ZFFpUkhQVQ%3D%3D","commands":[{"clickTrackingParams":"CKcBEKQwGAMiEwj-wKOVjc2LAxV1wkIFHfMqCaI=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CKoBEI5iIhMI_sCjlY3NiwMVdcJCBR3zKgmi","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CKcBEKQwGAMiEwj-wKOVjc2LAxV1wkIFHfMqCaI=","hasSeparator":true}}],"trackingParams":"CKcBEKQwGAMiEwj-wKOVjc2LAxV1wkIFHfMqCaI=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"21 minutes, 34 seconds"}},"simpleText":"21:34"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CKkBEPnnAxgBIhMI_sCjlY3NiwMVdcJCBR3zKgmi","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"jGy4dQiRHPU","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CKkBEPnnAxgBIhMI_sCjlY3NiwMVdcJCBR3zKgmi","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"jGy4dQiRHPU"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CKkBEPnnAxgBIhMI_sCjlY3NiwMVdcJCBR3zKgmi"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CKgBEMfsBBgCIhMI_sCjlY3NiwMVdcJCBR3zKgmi","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CKgBEMfsBBgCIhMI_sCjlY3NiwMVdcJCBR3zKgmi","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"jGy4dQiRHPU","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CKgBEMfsBBgCIhMI_sCjlY3NiwMVdcJCBR3zKgmi","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["jGy4dQiRHPU"],"params":"CAQ%3D"}},"videoIds":["jGy4dQiRHPU"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CKgBEMfsBBgCIhMI_sCjlY3NiwMVdcJCBR3zKgmi"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"Iubesc matematica - 2025 exercitii - 006 - 21 minutes - Go to channel - Iubesc matematica - 51 views - 8 days ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"Nh5egtJuoto","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/Nh5egtJuoto/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLBhZw34IiSx8QaLc_2rdrG2O02NNQ","width":168,"height":94},{"url":"https://i.ytimg.com/vi/Nh5egtJuoto/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLC0Cy4xdNT7H846pK6etUuzM-uoqw","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Problemă rezolvată - distanta de la un punct la un plan (2023-02-04) by profesorul de garda 5,059 views 2 years ago 13 minutes, 39 seconds"}},"simpleText":"Problemă rezolvată - distanta de la un punct la un plan (2023-02-04)"},"longBylineText":{"runs":[{"text":"profesorul de garda","navigationEndpoint":{"clickTrackingParams":"CKABEKQwGAQiEwj-wKOVjc2LAxV1wkIFHfMqCaIyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@profesoruldegarda7567","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UC51TKrintAezzJ7fjoCWL1w","canonicalBaseUrl":"/@profesoruldegarda7567"}}}]},"publishedTimeText":{"simpleText":"2 years ago"},"viewCountText":{"simpleText":"5,059 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"13 minutes, 39 seconds"}},"simpleText":"13:39"},"navigationEndpoint":{"clickTrackingParams":"CKABEKQwGAQiEwj-wKOVjc2LAxV1wkIFHfMqCaIyB3JlbGF0ZWRI0JrjnfvXhbiWAZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=Nh5egtJuoto","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"Nh5egtJuoto","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr4---sn-nvm-cxbz.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=361e5e82d26ea2da ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=571250 mt=1739877191 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"profesorul de garda","navigationEndpoint":{"clickTrackingParams":"CKABEKQwGAQiEwj-wKOVjc2LAxV1wkIFHfMqCaIyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@profesoruldegarda7567","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UC51TKrintAezzJ7fjoCWL1w","canonicalBaseUrl":"/@profesoruldegarda7567"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_kuETDwHeOvqzHdIaxsDNruDfZFL9yhhZlnHEuM9bU=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CKABEKQwGAQiEwj-wKOVjc2LAxV1wkIFHfMqCaJA2sW6k63Ql482","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"5K views"}},"simpleText":"5K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CKUBEP6YBBgFIhMI_sCjlY3NiwMVdcJCBR3zKgmi","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CKUBEP6YBBgFIhMI_sCjlY3NiwMVdcJCBR3zKgmi","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"Nh5egtJuoto","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CKUBEP6YBBgFIhMI_sCjlY3NiwMVdcJCBR3zKgmi","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["Nh5egtJuoto"],"params":"CAQ%3D"}},"videoIds":["Nh5egtJuoto"]}},{"clickTrackingParams":"CKUBEP6YBBgFIhMI_sCjlY3NiwMVdcJCBR3zKgmi","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CKYBELlqIhMI_sCjlY3NiwMVdcJCBR3zKgmi"}},"popupType":"TOAST"}}]}},"trackingParams":"CKUBEP6YBBgFIhMI_sCjlY3NiwMVdcJCBR3zKgmi"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CKQBENGqBRgGIhMI_sCjlY3NiwMVdcJCBR3zKgmi","offlineVideoEndpoint":{"videoId":"Nh5egtJuoto","onAddCommand":{"clickTrackingParams":"CKQBENGqBRgGIhMI_sCjlY3NiwMVdcJCBR3zKgmi","getDownloadActionCommand":{"videoId":"Nh5egtJuoto","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CKQBENGqBRgGIhMI_sCjlY3NiwMVdcJCBR3zKgmi"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CKABEKQwGAQiEwj-wKOVjc2LAxV1wkIFHfMqCaI=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtOaDVlZ3RKdW90bw%3D%3D","commands":[{"clickTrackingParams":"CKABEKQwGAQiEwj-wKOVjc2LAxV1wkIFHfMqCaI=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CKMBEI5iIhMI_sCjlY3NiwMVdcJCBR3zKgmi","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CKABEKQwGAQiEwj-wKOVjc2LAxV1wkIFHfMqCaI=","hasSeparator":true}}],"trackingParams":"CKABEKQwGAQiEwj-wKOVjc2LAxV1wkIFHfMqCaI=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"13 minutes, 39 seconds"}},"simpleText":"13:39"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CKIBEPnnAxgBIhMI_sCjlY3NiwMVdcJCBR3zKgmi","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"Nh5egtJuoto","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CKIBEPnnAxgBIhMI_sCjlY3NiwMVdcJCBR3zKgmi","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"Nh5egtJuoto"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CKIBEPnnAxgBIhMI_sCjlY3NiwMVdcJCBR3zKgmi"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CKEBEMfsBBgCIhMI_sCjlY3NiwMVdcJCBR3zKgmi","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CKEBEMfsBBgCIhMI_sCjlY3NiwMVdcJCBR3zKgmi","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"Nh5egtJuoto","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CKEBEMfsBBgCIhMI_sCjlY3NiwMVdcJCBR3zKgmi","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["Nh5egtJuoto"],"params":"CAQ%3D"}},"videoIds":["Nh5egtJuoto"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CKEBEMfsBBgCIhMI_sCjlY3NiwMVdcJCBR3zKgmi"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"Problemă rezolvată - distanta de la un punct la un plan (2023-02-04) - 13 minutes, 39 seconds - Go to channel - profesorul de garda - 5K views - 2 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"enableHoveredLogging":true,"enableOverlay":true}}}},{"lockupViewModel":{"contentImage":{"collectionThumbnailViewModel":{"primaryThumbnail":{"thumbnailViewModel":{"image":{"sources":[{"url":"https://i.ytimg.com/vi/mfWkFg3NlFY/hqdefault.jpg?sqp=-oaymwEWCKgBEF5IWvKriqkDCQgBFQAAiEIYAQ== rs=AOn4CLA-8-jlBcWzenzfJoPtlvi2qP8RXA","width":168,"height":94},{"url":"https://i.ytimg.com/vi/mfWkFg3NlFY/hqdefault.jpg?sqp=-oaymwEXCNACELwBSFryq4qpAwkIARUAAIhCGAE= rs=AOn4CLAafGszjRq7EowrofhKO114JBki8w","width":336,"height":188}]},"overlays":[{"thumbnailOverlayBadgeViewModel":{"thumbnailBadges":[{"thumbnailBadgeViewModel":{"icon":{"sources":[{"clientResource":{"imageName":"PLAYLISTS"}}]},"text":"11 videos","badgeStyle":"THUMBNAIL_OVERLAY_BADGE_STYLE_DEFAULT","backgroundColor":{"lightTheme":2693939,"darkTheme":2693939}}}],"position":"THUMBNAIL_OVERLAY_BADGE_POSITION_BOTTOM_END"}},{"thumbnailHoverOverlayViewModel":{"icon":{"sources":[{"clientResource":{"imageName":"PLAY_ALL"}}]},"text":{"content":"Play all","styleRuns":[{"startIndex":0,"length":8}]},"style":"THUMBNAIL_HOVER_OVERLAY_STYLE_COVER"}}],"backgroundColor":{"lightTheme":4073804,"darkTheme":4073804}}},"stackColor":{"lightTheme":8809369,"darkTheme":8877715}}},"metadata":{"lockupMetadataViewModel":{"title":{"content":"SUMA LUI GAUSS"},"metadata":{"contentMetadataViewModel":{"metadataRows":[{"metadataParts":[{"text":{"content":"Invata Matematica Usor

#############################