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Binomial Expansion

Card 1 of 22

How is 1(2+3x)2\frac{1}{(2+3x)^2}(2+3x)21​ expressed as a power of a binomial?

A

(2+3x)−1(2+3x)^{-1}(2+3x)−1

B

(2+3x)−2(2+3x)^{-2}(2+3x)−2

C
  • Factor aaa out of the bracket: a(1+bax)a(1+\frac{b}{a}x)a(1+ab​x)
  • Apply the power to both parts: an(1+bax)na^n(1+\frac{b}{a}x)^nan(1+ab​x)n
D
  • Expand (4+x)−12(4+x)^{-\frac{1}{2}}(4+x)−21​ to get 12−…\frac{1}{2} - \dots21​−…
  • Multiply by (a+bx)(a+bx)(a+bx) to find the constant term a2\frac{a}{2}2a​
  • Equate a2=2\frac{a}{2} = 22a​=2

Card 1 of 22

Binomial Expansion Flashcards

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

22 flashcards on Edexcel A Level Maths Binomial Expansion: the key formulae, methods and definitions you need to recall for Paper 1, Paper 2 and Paper 3.

Flashcards