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Binomial Expansion

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Question 202
a.

Given that the expansion of (a+bx)−12\displaystyle (a+bx)^{-\frac{1}{2}}(a+bx)−21​ in ascending powers of x x\,x up to and including x3 x^3\,x3 is

12−38x+2764x2−135256x3,\frac{1}{2} - \frac{3}{8}x + \frac{27}{64}x^2 - \frac{135}{256}x^3,21​−83​x+6427​x2−256135​x3,

find the values of a a\,a and bbb.

[4]
b.

Write down the range of values of x x\,x for which the expansion is valid.

[1]
Markscheme

Binomial Expansion Questions

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

408 exam-style questions on Edexcel A Level Maths Binomial Expansion, covering 4.1 Expanding (1 + x)^n, 4.2 Expanding (a + bx)^n, and 4.3 Using Partial Fractions. Each one has a worked solution and a mark scheme showing where the marks go.

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