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Binomial Expansion

Binomial Expansion

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Question 216
a.

The first three terms in the binomial expansion of 1(a+bx)2\displaystyle \frac{1}{(a + bx)^2}(a+bx)21​, where a a\,a and b b\,b are positive constants, are

14−34x+2716x2 \frac{1}{4} - \frac{3}{4}x + \frac{27}{16}x^2 41​−43​x+1627​x2

Work out 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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