The Binomial Expansion ExamSolutions

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This is a complete revision guide for the Binomial Expansion • Section 1 : Introduction 0:00:55 • Section 2 : The binomial expansion for a positive integral power 0:01:32 • Pascal's Triangle 0:06:24 • Example 0:07:18 • Test yourself 0:10:16 • Section 2.1 : Test yourself 0:13:24 • Section 3 : The binomial expansion using nCr for the coefficients 0:27:28 • nCr formula 0:19:50 • nCr on a scientific calculator 0:22:54 • binomial expansion formula with nCr coefficients 0:27:28 • Section 3.1 : Test yourself 0:28:16 • Section 4 : Finding specific terms and coefficients 0:31:34 • Examples 0:31:45 • Section 4.1 : Test yourself 0:38:52 • Section 5 : Numerical approximations 0:44:40 • Example 0:45:38 • Section 5.1 : Test yourself 0:47:58 • Section 6 : The binomial expansion for fractional and negative powers 0:50:57 • Example 0:53:21 • Section 6.1 : Test yourself 0:56:10 • Section 6.2 : Test yourself 1:02:38 • Section 7 : Validity (simultaneous type) 1:06:42 • Section 8 : (b + a) to rational and negative powers 1:11:14 • Test yourself 1:13:37 • Section 8.1 : Test yourself 1:16:36 • Section 9 : Partial fractions and the binomial expansion 1:19:51 • Section 9.1 : Test yourself 1:24:06 • Section 10 : Summary 1:29:24 • ------------------- Exam Questions ------------------------------------------------ • Revision for sections 2 - 5 • Edexcel Mixed exercise https://www.examsolutions.net/revisio... • • Video solutions • Sections 2 and 3: Positive integer powers • Jan 2013 Q1: • Binomial Expansion : C2 Edexcel Janua... • ------------ • June 2012 Q1: • Binomial Expansion : C2 Edexcel June ... • ------------ • Jan 2010 Q1: • A-Level Edexcel C2 January 2010 Q1 : ... • • Section 4: Finding specific terms and coefficients • Jan 2011 Q5: • Combinations and the Binomial Series ... • • Section 5: Numerical approximations • Jan 2012 Q3: https://qualifications.pearson.com/co... • video solution Q3a: • Binomial Expansion : C2 Edexcel Janua... • Section 6: Fractional and negative powers • Jan 2013: Q4: • Binomial Expansion : C4 Edexcel Janua... • Section 7: Partial fractions • June 2010 Q5: https://qualifications.pearson.com/co... • Video solution Q5a: • Partial Fractions : Edexcel Core Math... • Video solution Q5b: • Binomial Expansion : Edexcel Core Mat... • ____________________________________________________________ • Online Binomial Expansion Calculator • WolframAlpha https://www.wolframalpha.com/widgets/... • ____________________________________________________________ • EXAMSOLUTIONS MATHS INDEX at https://www.examsolutions.net/maths where you will have access to all playlists covering pure maths, statistics and mechanics. • YOUTUBE CHANNEL at / examsolutions • / examsolutions.net • NEW INSTAGRAM: / posts • TWITTER: / examsolutions • FOR MORE HELP PLEASE VISIT https://www.airmathstuition.com

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