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1.6.3 Binomial expansion for rational n (A-level only)

1.6.3 Binomial expansion for rational n (A-level only)

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Question 11
a.

Find the first four terms, in ascending powers of xxx, of the binomial expansion of

(1−14x)8\left(1 - \frac{1}{4}x\right)^8(1−41​x)8

giving each term in simplest form.

[4]
b.

Hence find the coefficient of x3x^3x3 in the expansion of

(4x+5)(1−14x)8(4x + 5)\left(1 - \frac{1}{4}x\right)^8(4x+5)(1−41​x)8

giving the answer in simplest form.

[2]
Markscheme

1.6.3 Binomial expansion for rational n (A-level only) Questions

  1. A Level
  2. /Maths
  3. /1.6.3 Binomial expansion for rational n (A-level only)

12 exam-style questions on OCR (MEI) A Level Maths 1.6.3 Binomial expansion for rational n (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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