Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2016 | May-Jun | (P1-9709/13) | Q#1

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Question

Find the coefficient of  in the expansion of .

 

Solution

We are given expression as;

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

In the given case:

Hence;

Since we are looking for the terms with  i.e. : we can  equate;

Now we can find the term with; Substituting ;

Hence the coefficient of the term containing  is 90.

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