The Binomial Expansion | ExamSolutions

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

Video solutions
Sections 2 and 3: Positive integer powers

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Section 4: Finding specific terms and coefficients

Section 5: Numerical approximations

Section 6: Fractional and negative powers

Section 7: Partial fractions
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Online Binomial Expansion Calculator

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[ExamSolutions_Maths]

*Sorry everyone but at **1:04:07** the the x³ term, should it be (112/81)x³ instead of (112/27)x³*

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[blackjack]

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[karanjaruhiu]

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[paris]

ive just been revising binomial expansions, this will come in handy 😁

[NormanWasHere]

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[takeihuewi]

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[MyMathsAdventure]

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[honkynel]

Great tutorial. I did this years ago but had forgotten it. This was explained very clearly and I felt like it brought it all back.

[koqovve]

Hello sir, at 1:04:09 for the x³ term, should it be (112/81)x³ instead of (112/27)x³ ?
thankyou

[my_virtual_learning_hub_]

You're a good teacher sir, keep the videos coming

[dilly]

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[paulmaggiar]

I spent hours on this video. Thank you!

[robertandre]

Thanks so much
I have learnt what had never been taught to me
I wish you were my math teacher physically🙏🙏

[bobtheagent]

Spent 15 minutes solving this 1:27:00, then I realised I did it without the partial fractions yet surprisingly I go no calculation mistake. Thanks for the video

[rezamahmud]

In 1:06:19 and also alike from previous example, how is modulus x less than half when x is written as less than half but greater than negative half? Probably I am not getting the concept of modulus right

[Ahmed-vsui]

Thanks sir i am still an o level student but these things interest me and u made me understand

[chumbucket]

Hey Im abit confused on how my method got the right answer for the question at 38:36, I actually forgot to multiply the Ks by the powers of b. What I did was half 3840 to get 1920 and formed the equation: 1280k = 1920. which also gave me 1.5. Im unsure how Ive gotten the right answer, will this work only for this question?