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Binomial Expansion

Binomial Expansion

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Question 215
a.

Verify that the expansion of (9+6x)−12\displaystyle (9 + 6x)^{-\frac{1}{2}}(9+6x)−21​ in ascending powers of x x\,x up to and including x3 x^3\,x3 is

13−19x+118x2−5162x3 \frac{1}{3} - \frac{1}{9}x + \frac{1}{18}x^2 - \frac{5}{162}x^3 31​−91​x+181​x2−1625​x3
[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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