Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2019 | May-Jun | (P1-9709/13) | Q#2

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Question


i.
In the binomial expansion of , the first three terms are . Find the  remaining three terms of the expansion.

ii. Hence find the coefficient of  in the expansion of .

Solution


i.

Expression for the Binomial expansion of is:

First rewrite the given expression in standard form.

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 0.

 

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