# 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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