Comment décomposer une fraction rationnelle en éléments simples
>> YOUR LINK HERE: ___ http://youtube.com/watch?v=OOjs-s-Wfe0
Présentation, sur 3 exemples, de la méthode pour décomposer une fraction rationnelle en éléments simples.","styleRuns":[{"startIndex":0,"length":105,"styleRunExtensions":{"styleRunColorMapExtension":{"colorMap":[{"key":"USER_INTERFACE_THEME_DARK","value":4294967295},{"key":"USER_INTERFACE_THEME_LIGHT","value":4279440147}]}},"fontFamilyName":"Roboto"}]},"headerRuns":[{"startIndex":0,"length":105,"headerMapping":"ATTRIBUTED_STRING_HEADER_MAPPING_UNSPECIFIED"}]}},{"itemSectionRenderer":{"contents":[{"continuationItemRenderer":{"trigger":"CONTINUATION_TRIGGER_ON_ITEM_SHOWN","continuationEndpoint":{"clickTrackingParams":"COUBELsvGAIiEwisyti5ne2LAxXX20IFHQYOG0g=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/next"}},"continuationCommand":{"token":"Eg0SC09PanMtcy1XZmUwGAYyJSIRIgtPT2pzLXMtV2ZlMDAAeAJCEGNvbW1lbnRzLXNlY3Rpb24%3D","request":"CONTINUATION_REQUEST_TYPE_WATCH_NEXT"}}}}],"trackingParams":"COUBELsvGAIiEwisyti5ne2LAxXX20IFHQYOG0g=","sectionIdentifier":"comment-item-section","targetId":"comments-section"}}],"trackingParams":"COQBELovIhMIrMrYuZ3tiwMV19tCBR0GDhtI"}},"secondaryResults":{"secondaryResults":{"results":[{"compactVideoRenderer":{"videoId":"K_cU2hukpcs","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/K_cU2hukpcs/hqdefault.jpg?sqp=-oaymwE1CKgBEF5IVfKriqkDKAgBFQAAiEIYAXABwAEG8AEB-AH-CYAC0AWKAgwIABABGH8gEygTMA8= rs=AOn4CLAqolqlO0ARMX6RzIYPNjD-99lgSQ","width":168,"height":94},{"url":"https://i.ytimg.com/vi/K_cU2hukpcs/hqdefault.jpg?sqp=-oaymwE2CNACELwBSFXyq4qpAygIARUAAIhCGAFwAcABBvABAfgB_gmAAtAFigIMCAAQARh_IBMoEzAP rs=AOn4CLAPIaWN-SrGf1I3c1v2hxN_6PVpLg","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Théorème de structure des groupes monogènes by Bibmath.net 3,465 views 1 year ago 8 minutes, 18 seconds"}},"simpleText":"Théorème de structure des groupes monogènes"},"longBylineText":{"runs":[{"text":"Bibmath.net","navigationEndpoint":{"clickTrackingParams":"CN0BEKQwGAAiEwisyti5ne2LAxXX20IFHQYOG0gyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@bibmath001","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCP-LXgvAe7CMdf_dddUcLmw","canonicalBaseUrl":"/@bibmath001"}}}]},"publishedTimeText":{"simpleText":"1 year ago"},"viewCountText":{"simpleText":"3,465 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"8 minutes, 18 seconds"}},"simpleText":"8:18"},"navigationEndpoint":{"clickTrackingParams":"CN0BEKQwGAAiEwisyti5ne2LAxXX20IFHQYOG0gyB3JlbGF0ZWRI7fvZ_Kyfu_Q4mgEFCAEQ-B0=","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=K_cU2hukpcs","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"K_cU2hukpcs","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=2bf714da1ba4a5cb ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1458750 mt=1740980943 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"Bibmath.net","navigationEndpoint":{"clickTrackingParams":"CN0BEKQwGAAiEwisyti5ne2LAxXX20IFHQYOG0gyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@bibmath001","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCP-LXgvAe7CMdf_dddUcLmw","canonicalBaseUrl":"/@bibmath001"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_nORasDzDhhPrenEHs9PdjwIlwsrVDxDAz4BeTBOMs=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CN0BEKQwGAAiEwisyti5ne2LAxXX20IFHQYOG0hAy8uS3aGbxfsr","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"3.4K views"}},"simpleText":"3.4K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"COIBEP6YBBgFIhMIrMrYuZ3tiwMV19tCBR0GDhtI","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"COIBEP6YBBgFIhMIrMrYuZ3tiwMV19tCBR0GDhtI","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"K_cU2hukpcs","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"COIBEP6YBBgFIhMIrMrYuZ3tiwMV19tCBR0GDhtI","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["K_cU2hukpcs"],"params":"CAQ%3D"}},"videoIds":["K_cU2hukpcs"]}},{"clickTrackingParams":"COIBEP6YBBgFIhMIrMrYuZ3tiwMV19tCBR0GDhtI","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"COMBELlqIhMIrMrYuZ3tiwMV19tCBR0GDhtI"}},"popupType":"TOAST"}}]}},"trackingParams":"COIBEP6YBBgFIhMIrMrYuZ3tiwMV19tCBR0GDhtI"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"COEBENGqBRgGIhMIrMrYuZ3tiwMV19tCBR0GDhtI","offlineVideoEndpoint":{"videoId":"K_cU2hukpcs","onAddCommand":{"clickTrackingParams":"COEBENGqBRgGIhMIrMrYuZ3tiwMV19tCBR0GDhtI","getDownloadActionCommand":{"videoId":"K_cU2hukpcs","params":"CAIQAA%3D%3D"}}}},"trackingParams":"COEBENGqBRgGIhMIrMrYuZ3tiwMV19tCBR0GDhtI"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CN0BEKQwGAAiEwisyti5ne2LAxXX20IFHQYOG0g=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtLX2NVMmh1a3Bjcw%3D%3D","commands":[{"clickTrackingParams":"CN0BEKQwGAAiEwisyti5ne2LAxXX20IFHQYOG0g=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"COABEI5iIhMIrMrYuZ3tiwMV19tCBR0GDhtI","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CN0BEKQwGAAiEwisyti5ne2LAxXX20IFHQYOG0g=","hasSeparator":true}}],"trackingParams":"CN0BEKQwGAAiEwisyti5ne2LAxXX20IFHQYOG0g=","accessibility":{"accessibilityData":{"label":"Action menu"}},"targetId":"watch-related-menu-button"}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"8 minutes, 18 seconds"}},"simpleText":"8:18"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CN8BEPnnAxgBIhMIrMrYuZ3tiwMV19tCBR0GDhtI","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"K_cU2hukpcs","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CN8BEPnnAxgBIhMIrMrYuZ3tiwMV19tCBR0GDhtI","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"K_cU2hukpcs"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CN8BEPnnAxgBIhMIrMrYuZ3tiwMV19tCBR0GDhtI"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CN4BEMfsBBgCIhMIrMrYuZ3tiwMV19tCBR0GDhtI","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CN4BEMfsBBgCIhMIrMrYuZ3tiwMV19tCBR0GDhtI","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"K_cU2hukpcs","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CN4BEMfsBBgCIhMIrMrYuZ3tiwMV19tCBR0GDhtI","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["K_cU2hukpcs"],"params":"CAQ%3D"}},"videoIds":["K_cU2hukpcs"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CN4BEMfsBBgCIhMIrMrYuZ3tiwMV19tCBR0GDhtI"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"Théorème de structure des groupes monogènes - 8 minutes, 18 seconds - Go to channel - Bibmath.net - 3.4K views - 1 year ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"MV2iyxLoi4M","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/MV2iyxLoi4M/hqdefault.jpg?sqp=-oaymwE1CKgBEF5IVfKriqkDKAgBFQAAiEIYAXABwAEG8AEB-AHWBIAC4AOKAgwIABABGHIgRig1MA8= rs=AOn4CLBSmMzH7eIHCMuOOIkNn2yAsYASAw","width":168,"height":94},{"url":"https://i.ytimg.com/vi/MV2iyxLoi4M/hqdefault.jpg?sqp=-oaymwE2CNACELwBSFXyq4qpAygIARUAAIhCGAFwAcABBvABAfgB1gSAAuADigIMCAAQARhyIEYoNTAP rs=AOn4CLC3YiBGK73nB8yN4OEfjHPdFCMyfA","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Décomposition en éléments simples : techniques élémentaires. by math-sup.fr 673,480 views 10 years ago 21 minutes"}},"simpleText":"Décomposition en éléments simples : techniques élémentaires."},"longBylineText":{"runs":[{"text":"math-sup.fr","navigationEndpoint":{"clickTrackingParams":"CNYBEKQwGAEiEwisyti5ne2LAxXX20IFHQYOG0gyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@math-sup","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCjuo-VgUli12Dbo36_eYjCQ","canonicalBaseUrl":"/@math-sup"}}}]},"publishedTimeText":{"simpleText":"10 years ago"},"viewCountText":{"simpleText":"673,480 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"21 minutes, 1 second"}},"simpleText":"21:01"},"navigationEndpoint":{"clickTrackingParams":"CNYBEKQwGAEiEwisyti5ne2LAxXX20IFHQYOG0gyB3JlbGF0ZWRI7fvZ_Kyfu_Q4mgEFCAEQ-B0=","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=MV2iyxLoi4M","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"MV2iyxLoi4M","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr2---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=315da2cb12e88b83 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=755000 mt=1740980943 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"math-sup.fr","navigationEndpoint":{"clickTrackingParams":"CNYBEKQwGAEiEwisyti5ne2LAxXX20IFHQYOG0gyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@math-sup","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCjuo-VgUli12Dbo36_eYjCQ","canonicalBaseUrl":"/@math-sup"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_l2b-sjMZpZZQK_m7k-wfrplnnUJYiziGHzpxCMgZR7ir4=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CNYBEKQwGAEiEwisyti5ne2LAxXX20IFHQYOG0hAg5eil7HZ6K4x","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"673K views"}},"simpleText":"673K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CNsBEP6YBBgGIhMIrMrYuZ3tiwMV19tCBR0GDhtI","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CNsBEP6YBBgGIhMIrMrYuZ3tiwMV19tCBR0GDhtI","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"MV2iyxLoi4M","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CNsBEP6YBBgGIhMIrMrYuZ3tiwMV19tCBR0GDhtI","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["MV2iyxLoi4M"],"params":"CAQ%3D"}},"videoIds":["MV2iyxLoi4M"]}},{"clickTrackingParams":"CNsBEP6YBBgGIhMIrMrYuZ3tiwMV19tCBR0GDhtI","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CNwBELlqIhMIrMrYuZ3tiwMV19tCBR0GDhtI"}},"popupType":"TOAST"}}]}},"trackingParams":"CNsBEP6YBBgGIhMIrMrYuZ3tiwMV19tCBR0GDhtI"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CNoBENGqBRgHIhMIrMrYuZ3tiwMV19tCBR0GDhtI","offlineVideoEndpoint":{"videoId":"MV2iyxLoi4M","onAddCommand":{"clickTrackingParams":"CNoBENGqBRgHIhMIrMrYuZ3tiwMV19tCBR0GDhtI","getDownloadActionCommand":{"videoId":"MV2iyxLoi4M","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CNoBENGqBRgHIhMIrMrYuZ3tiwMV19tCBR0GDhtI"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CNYBEKQwGAEiEwisyti5ne2LAxXX20IFHQYOG0g=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtNVjJpeXhMb2k0TQ%3D%3D","commands":[{"clickTrackingParams":"CNYBEKQwGAEiEwisyti5ne2LAxXX20IFHQYOG0g=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CNkBEI5iIhMIrMrYuZ3tiwMV19tCBR0GDhtI","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CNYBEKQwGAEiEwisyti5ne2LAxXX20IFHQYOG0g=","hasSeparator":true}}],"trackingParams":"CNYBEKQwGAEiEwisyti5ne2LAxXX20IFHQYOG0g=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"21 minutes, 1 second"}},"simpleText":"21:01"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CNgBEPnnAxgBIhMIrMrYuZ3tiwMV19tCBR0GDhtI","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"MV2iyxLoi4M","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CNgBEPnnAxgBIhMIrMrYuZ3tiwMV19tCBR0GDhtI","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"MV2iyxLoi4M"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CNgBEPnnAxgBIhMIrMrYuZ3tiwMV19tCBR0GDhtI"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CNcBEMfsBBgCIhMIrMrYuZ3tiwMV19tCBR0GDhtI","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CNcBEMfsBBgCIhMIrMrYuZ3tiwMV19tCBR0GDhtI","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"MV2iyxLoi4M","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CNcBEMfsBBgCIhMIrMrYuZ3tiwMV19tCBR0GDhtI","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["MV2iyxLoi4M"],"params":"CAQ%3D"}},"videoIds":["MV2iyxLoi4M"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CNcBEMfsBBgCIhMIrMrYuZ3tiwMV19tCBR0GDhtI"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"Décomposition en éléments simples : techniques élémentaires. - 21 minutes - Go to channel - math-sup.fr - 673K views - 10 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"movingThumbnailDetails":{"thumbnails":[{"url":"https://i.ytimg.com/an_webp/MV2iyxLoi4M/mqdefault_6s.webp?du=3000 sqp=CKXblL4G rs=AOn4CLBr0BLHVEUbEDfKG5iEKk63kTcxhA","width":320,"height":180}],"logAsMovingThumbnail":true},"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"EcEzTAX8zw8","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/EcEzTAX8zw8/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLD1q_YB5jQe3MwvyRU-rLKHArMFKA","width":168,"height":94},{"url":"https://i.ytimg.com/vi/EcEzTAX8zw8/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLDTSDfsiljTkWK82Z0KZY5ak_GoHQ","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Décomposition en éléments simples (MPSI/PCSI) by TugMaths 45,783 views 1 year ago 14 minutes, 46 seconds"}},"simpleText":"Décomposition en éléments simples (MPSI/PCSI)"},"longBylineText":{"runs":[{"text":"TugMaths","navigationEndpoint":{"clickTrackingParams":"CM8BEKQwGAIiEwisyti5ne2LAxXX20IFHQYOG0gyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@tugmaths4640","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCYAcFp07rla0hHfkWbl4MYg","canonicalBaseUrl":"/@tugmaths4640"}}}]},"publishedTimeText":{"simpleText":"1 year ago"},"viewCountText":{"simpleText":"45,783 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"14 minutes, 46 seconds"}},"simpleText":"14:46"},"navigationEndpoint":{"clickTrackingParams":"CM8BEKQwGAIiEwisyti5ne2LAxXX20IFHQYOG0gyB3JlbGF0ZWRI7fvZ_Kyfu_Q4mgEFCAEQ-B0=","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=EcEzTAX8zw8","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"EcEzTAX8zw8","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=11c1334c05fccf0f ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1458750 mt=1740980943 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"TugMaths","navigationEndpoint":{"clickTrackingParams":"CM8BEKQwGAIiEwisyti5ne2LAxXX20IFHQYOG0gyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@tugmaths4640","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCYAcFp07rla0hHfkWbl4MYg","canonicalBaseUrl":"/@tugmaths4640"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_kr3wOXyJJnXePYU0ICJmvGGZxGahmBQQR4M6T52LRQoQ=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CM8BEKQwGAIiEwisyti5ne2LAxXX20IFHQYOG0hAj57zr8DpzOAR","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"45K views"}},"simpleText":"45K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CNQBEP6YBBgFIhMIrMrYuZ3tiwMV19tCBR0GDhtI","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CNQBEP6YBBgFIhMIrMrYuZ3tiwMV19tCBR0GDhtI","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"EcEzTAX8zw8","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CNQBEP6YBBgFIhMIrMrYuZ3tiwMV19tCBR0GDhtI","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["EcEzTAX8zw8"],"params":"CAQ%3D"}},"videoIds":["EcEzTAX8zw8"]}},{"clickTrackingParams":"CNQBEP6YBBgFIhMIrMrYuZ3tiwMV19tCBR0GDhtI","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CNUBELlqIhMIrMrYuZ3tiwMV19tCBR0GDhtI"}},"popupType":"TOAST"}}]}},"trackingParams":"CNQBEP6YBBgFIhMIrMrYuZ3tiwMV19tCBR0GDhtI"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CNMBENGqBRgGIhMIrMrYuZ3tiwMV19tCBR0GDhtI","offlineVideoEndpoint":{"videoId":"EcEzTAX8zw8","onAddCommand":{"clickTrackingParams":"CNMBENGqBRgGIhMIrMrYuZ3tiwMV19tCBR0GDhtI","getDownloadActionCommand":{"videoId":"EcEzTAX8zw8","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CNMBENGqBRgGIhMIrMrYuZ3tiwMV19tCBR0GDhtI"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CM8BEKQwGAIiEwisyti5ne2LAxXX20IFHQYOG0g=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtFY0V6VEFYOHp3OA%3D%3D","commands":[{"clickTrackingParams":"CM8BEKQwGAIiEwisyti5ne2LAxXX20IFHQYOG0g=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CNIBEI5iIhMIrMrYuZ3tiwMV19tCBR0GDhtI","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CM8BEKQwGAIiEwisyti5ne2LAxXX20IFHQYOG0g=","hasSeparator":true}}],"trackingParams":"CM8BEKQwGAIiEwisyti5ne2LAxXX20IFHQYOG0g=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"14 minutes, 46 seconds"}},"simpleText":"14:46"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CNEBEPnnAxgBIhMIrMrYuZ3tiwMV19tCBR0GDhtI","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"EcEzTAX8zw8","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CNEBEPnnAxgBIhMIrMrYuZ3tiwMV19tCBR0GDhtI","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"EcEzTAX8zw8"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CNEBEPnnAxgBIhMIrMrYuZ3tiwMV19tCBR0GDhtI"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CNABEMfsBBgCIhMIrMrYuZ3tiwMV19tCBR0GDhtI","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CNABEMfsBBgCIhMIrMrYuZ3tiwMV19tCBR0GDhtI","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"EcEzTAX8zw8","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CNABEMfsBBgCIhMIrMrYuZ3tiwMV19tCBR0GDhtI","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["EcEzTAX8zw8"],"params":"CAQ%3D"}},"videoIds":["EcEzTAX8zw8"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CNABEMfsBBgCIhMIrMrYuZ3tiwMV19tCBR0GDhtI"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"Décomposition en éléments simples (MPSI/PCSI) - 14 minutes, 46 seconds - Go to channel - TugMaths - 45K views - 1 year ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"ZocN1K_AXaA","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/ZocN1K_AXaA/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLBzs-ROldUrxA5VO88KhsYkzmKwFg","width":168,"height":94},{"url":"https://i.ytimg.com/vi/ZocN1K_AXaA/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLCqaJyp4vOUAzzrTbttjQm5ot0nMQ","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"how to setup partial fractions (all cases) by bprp calculus basics 428,517 views 2 years ago 9 minutes, 8 seconds"}},"simpleText":"how to setup partial fractions (all cases)"},"longBylineText":{"runs":[{"text":"bprp calculus basics","navigationEndpoint":{"clickTrackingParams":"CMgBEKQwGAMiEwisyti5ne2LAxXX20IFHQYOG0gyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@bprpcalculusbasics","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCMUu2lQ_ilNsb26oWrc5ENw","canonicalBaseUrl":"/@bprpcalculusbasics"}}}]},"publishedTimeText":{"simpleText":"2 years ago"},"viewCountText":{"simpleText":"428,517 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"9 minutes, 8 seconds"}},"simpleText":"9:08"},"navigationEndpoint":{"clickTrackingParams":"CMgBEKQwGAMiEwisyti5ne2LAxXX20IFHQYOG0gyB3JlbGF0ZWRI7fvZ_Kyfu_Q4mgEFCAEQ-B0=","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=ZocN1K_AXaA","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"ZocN1K_AXaA","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=66870dd4afc05da0 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1458750 mt=1740980943 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"bprp calculus basics","navigationEndpoint":{"clickTrackingParams":"CMgBEKQwGAMiEwisyti5ne2LAxXX20IFHQYOG0gyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@bprpcalculusbasics","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCMUu2lQ_ilNsb26oWrc5ENw","canonicalBaseUrl":"/@bprpcalculusbasics"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/QoOIWimgsOo2pAQqphfOpeCfyqnqIDQF0y8yTFyYri23DbcxrKz_xK_EOJxG3HFwOJC8LryH5g=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"ownerBadges":[{"metadataBadgeRenderer":{"icon":{"iconType":"CHECK_CIRCLE_THICK"},"style":"BADGE_STYLE_TYPE_VERIFIED","tooltip":"Verified","trackingParams":"CMgBEKQwGAMiEwisyti5ne2LAxXX20IFHQYOG0g=","accessibilityData":{"label":"Verified"}}}],"trackingParams":"CMgBEKQwGAMiEwisyti5ne2LAxXX20IFHQYOG0hAoLuB_sq6w8Nm","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"428K views"}},"simpleText":"428K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CM0BEP6YBBgHIhMIrMrYuZ3tiwMV19tCBR0GDhtI","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CM0BEP6YBBgHIhMIrMrYuZ3tiwMV19tCBR0GDhtI","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"ZocN1K_AXaA","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CM0BEP6YBBgHIhMIrMrYuZ3tiwMV19tCBR0GDhtI","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["ZocN1K_AXaA"],"params":"CAQ%3D"}},"videoIds":["ZocN1K_AXaA"]}},{"clickTrackingParams":"CM0BEP6YBBgHIhMIrMrYuZ3tiwMV19tCBR0GDhtI","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CM4BELlqIhMIrMrYuZ3tiwMV19tCBR0GDhtI"}},"popupType":"TOAST"}}]}},"trackingParams":"CM0BEP6YBBgHIhMIrMrYuZ3tiwMV19tCBR0GDhtI"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CMwBENGqBRgIIhMIrMrYuZ3tiwMV19tCBR0GDhtI","offlineVideoEndpoint":{"videoId":"ZocN1K_AXaA","onAddCommand":{"clickTrackingParams":"CMwBENGqBRgIIhMIrMrYuZ3tiwMV19tCBR0GDhtI","getDownloadActionCommand":{"videoId":"ZocN1K_AXaA","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CMwBENGqBRgIIhMIrMrYuZ3tiwMV19tCBR0GDhtI"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CMgBEKQwGAMiEwisyti5ne2LAxXX20IFHQYOG0g=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"Cgtab2NOMUtfQVhhQQ%3D%3D","commands":[{"clickTrackingParams":"CMgBEKQwGAMiEwisyti5ne2LAxXX20IFHQYOG0g=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CMsBEI5iIhMIrMrYuZ3tiwMV19tCBR0GDhtI","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CMgBEKQwGAMiEwisyti5ne2LAxXX20IFHQYOG0g=","hasSeparator":true}}],"trackingParams":"CMgBEKQwGAMiEwisyti5ne2LAxXX20IFHQYOG0g=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"9 minutes, 8 seconds"}},"simpleText":"9:08"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CMoBEPnnAxgCIhMIrMrYuZ3tiwMV19tCBR0GDhtI","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"ZocN1K_AXaA","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CMoBEPnnAxgCIhMIrMrYuZ3tiwMV19tCBR0GDhtI","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"ZocN1K_AXaA"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CMoBEPnnAxgCIhMIrMrYuZ3tiwMV19tCBR0GDhtI"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CMkBEMfsBBgDIhMIrMrYuZ3tiwMV19tCBR0GDhtI","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CMkBEMfsBBgDIhMIrMrYuZ3tiwMV19tCBR0GDhtI","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"ZocN1K_AXaA","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CMkBEMfsBBgDIhMIrMrYuZ3tiwMV19tCBR0GDhtI","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["ZocN1K_AXaA"],"params":"CAQ%3D"}},"videoIds":["ZocN1K_AXaA"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CMkBEMfsBBgDIhMIrMrYuZ3tiwMV19tCBR0GDhtI"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"how to setup partial fractions (all cases) - 9 minutes, 8 seconds - Go to channel - bprp calculus basics - 428K views - 2 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"movingThumbnailDetails":{"thumbnails":[{"url":"https://i.ytimg.com/an_webp/ZocN1K_AXaA/mqdefault_6s.webp?du=3000 sqp=CMD6lL4G rs=AOn4CLDEuhZ9uSXR-hmMd8LaOobh0zzmiA","width":320,"height":180}],"logAsMovingThumbnail":true},"enableHoveredLogging":true,"enableOverlay":true}}}},{"lockupViewModel":{"contentImage":{"collectionThumbnailViewModel":{"primaryThumbnail":{"thumbnailViewModel":{"image":{"sources":[{"url":"https://i.ytimg.com/vi/WMpsh0ii38A/hqdefault.jpg?sqp=-oaymwEWCKgBEF5IWvKriqkDCQgBFQAAiEIYAQ== rs=AOn4CLCbeibL2s538iFJILUq2SpJwUec-Q","width":168,"height":94},{"url":"https://i.ytimg.com/vi/WMpsh0ii38A/hqdefault.jpg?sqp=-oaymwEXCNACELwBSFryq4qpAwkIARUAAIhCGAE= rs=AOn4CLABSXDOQzRXf-RRuy_Tf23OmWGKHw","width":336,"height":188}]},"overlays":[{"thumbnailOverlayBadgeViewModel":{"thumbnailBadges":[{"thumbnailBadgeViewModel":{"icon":{"sources":[{"clientResource":{"imageName":"PLAYLISTS"}}]},"text":"5 videos","badgeStyle":"THUMBNAIL_OVERLAY_BADGE_STYLE_DEFAULT","backgroundColor":{"lightTheme":3355443,"darkTheme":3355443}}}],"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":4144959,"darkTheme":4144959}}},"stackColor":{"lightTheme":10066329,"darkTheme":9211020}}},"metadata":{"lockupMetadataViewModel":{"title":{"content":"Fractions rationnelles"},"metadata":{"contentMetadataViewModel":{"metadataRows":[{"metadataParts":[{"text":{"content":"Algèbre Prépa (Omar Jedidi)
#############################
