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Binomial Expansion

Binomial Expansion

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Question 221
a.

Show that (27+27x)13\displaystyle (27 + 27x)^{\frac{1}{3}}(27+27x)31​ expands in ascending powers of x x\,x up to and including x3 x^3\,x3 to give 3+x−13x2+527x3\displaystyle 3 + x - \frac{1}{3}x^2 + \frac{5}{27}x^33+x−31​x2+275​x3

[4]
b.

Show that the range of values of x x\,x for which the expansion is valid is ∣x∣<1|x|<1∣x∣<1

[1]
Markscheme

Binomial Expansion Questions

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

409 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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