Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2015 | Oct-Nov | (P1-9709/11) | Q#1

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Question

In the expansion of , where a is a non-zero constant, show that the coefficient of  is zero.

Solution

Expression for the Binomial expansion of  is:

We are given;

In the given case:

Hence;

It is evident that to get the terms containing  in the product of  we need;

This will result in terms containing ;

Hence coefficient of in the expansion of .

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