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1.7.1 Binomial expansion

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Question 61
a.

Find the first 4 terms, in ascending powers of xxx, of the binomial expansion of

(3+kx9)6 \left(3 + \frac{kx}{9}\right)^6 (3+9kx​)6

where kkk is a non-zero constant. Give each term in its simplest form.

[4]
b.

Given that

f(x)=(4+2x)(3+kx9)6 f(x) = (4 + 2x)\left(3 + \frac{kx}{9}\right)^6 f(x)=(4+2x)(3+9kx​)6

and that in the expansion of f(x)f(x)f(x), the coefficient of xxx is equal to the constant term, find the value of kkk.

[4]
Markscheme

1.7.1 Binomial expansion Questions

  1. A Level
  2. /Maths
  3. /1.7.1 Binomial expansion

144 exam-style questions on AQA A Level Maths 1.7.1 Binomial expansion. Each one has a worked solution and a mark scheme showing where the marks go.

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