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1 Pure Mathematics

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Question 294
a.

Find the first four terms, in ascending powers of xxx, of the binomial expansion of (1+2x)12\displaystyle (1+2x)^{\frac12}(1+2x)21​.

[3]
b.

Hence find the expansion of

1+2x1−x\displaystyle \frac{\sqrt{1+2x}}{1-x}1−x1+2x​​

up to and including the term in x3x^3x3.

[3]
c.

State the range of values of x x\,x for which both expansions used in part (b) are valid.

In this question you must show detailed reasoning.

[2]
Markscheme

1 Pure Mathematics Questions

  1. A Level
  2. /Maths
  3. /1 Pure Mathematics

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