Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2009 | Oct-Nov | (P1-9709/11) | Q#3

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Question


i.     
Find the first three terms in the expansion of   in ascending powers of .

ii.       Given that the coefficient of in the expansion of  is  , find the value           of  the constant .

Solution


i.
 

First rewrite the given expression in standard form.

Expression for the Binomial expansion of  is:

In the given case:

Hence;


ii.
 

To find the term with   in the expansion of 

From (i) we have;

Therefore;

We are interested only in coefficient of  which is equal to 48.,

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