Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2018 | Oct-Nov | (P1-9709/13) | Q#1

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Question

Find the coefficient of  in the expansion of .

Solution

We are required to expand;

We can write it 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 coefficient of the term : we can equate;

Finally substituting  in:

Therefore, the coefficient of is -672.

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