# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2014 | Oct-Nov | (P1-9709/12) | Q#3

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**Question**

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

The coefficient of in the expansion of is 95.

** ii. **Use the answer to part (i) to find the value of the positive constant .

**Solution**

i.

Expression for the Binomial expansion of is:

In the given case:

Hence;

ii.

To evaluate the expansion of we can substitute in the equation obtained in (i);

According to the given condition, the coefficient of in the expansion of is

95. Therefore;

Since we are required to find the value of the positive constant ;

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