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Binomial Expansion

Binomial Expansion

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Question 282

The expansion of (16−2x)12\displaystyle (16-2x)^{\frac{1}{2}}(16−2x)21​ in ascending powers of x x\,x up to and including x3 x^3\,x3 is

4−14x−1128x2−12048x3.4-\frac{1}{4}x-\frac{1}{128}x^2-\frac{1}{2048}x^3.4−41​x−1281​x2−20481​x3.

Use your expansion, with a suitable value of xxx, to find the value of 15.9 \sqrt{15.9}\,15.9​ correct to 5 significant figures

[2]
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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