Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2010 | May-Jun | (P1-9709/13) | Q#2

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Question


i.    
Find the first 3 terms, in descending powers of , in the expansion of  .

   ii.       Find the coefficient of  in  in the expansion of .

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 coefficient of   in the expansion of

First we know from (i) that

Therefore:

Since we are interested in the coefficient of variable  :

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