# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2011 | May-Jun | (P1-9709/12) | Q#2

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**Question**

** i. **Find the terms in and in the expansion of .

** ii. **Given that there is no term in in the expansion of , 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;

Hence the required terms in and are:

&

ii.

For the expansion of

First we know from (i) that

Therefore:

Since there is no term in i.e coefficient of is ZERO.

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