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Binomial Expansion

Binomial Expansion

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Question 363
a.

Find the first two terms, in ascending powers of uuu, of the binomial expansion of

(1+2u)13 (1 + 2u)^{\frac{1}{3}} (1+2u)31​
[2]
b.

Hence, for small values of xxx, show that

cos⁡3x+1−x23≈A+Bx+Cx2 \cos 3x + \sqrt[3]{1 - x^2} \approx A + Bx + Cx^2 cos3x+31−x2​≈A+Bx+Cx2

where AAA, BBB and CCC are constants to be found.

[5]
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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