Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2002 | Oct-Nov | P1-9709/01 | Q#1

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Question

Find the value of the term which is independent of  in the expansion of

Solution

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

In the given case:

Hence;

Since we are looking for value of the term independent of , i.e. : we can  equate

Finally substituting  in:

Therefore the value of the term independent of   is 54.

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