Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2003 | May-Jun | (P1-9709/01) | Q#1

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Question

Find the value of the coefficient of  in the expansion of .

Solution

First rewrite the given expression in standard form.

Expression for the general term in the Binomial expansion of  is:

In the given case:

Hence;

Since we are looking for the value of the coefficient of   , i.e.  we can equate

Finally substituting  in:

Therefore the coefficient of  is .

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