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Binomial Expansion

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Question 108
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]

Binomial Expansion Questions

  1. A Level
  2. /Maths
  3. /Binomial Expansion

Practise Edexcel A Level Maths Binomial Expansion with exam-style questions for A Level Maths. 115 questions covering 4.1 Expanding (1 + x)^n, 4.2 Expanding (a + bx)^n, and 4.3 Using Partial Fractions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

Question bank