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9709 P12 - Nov 2014 - Q3
959

(i) Find the first 3 terms, in ascending powers of \(x\), in the expansion of \((1 + x)^5\).

The coefficient of \(x^2\) in the expansion of \(\left( 1 + (px + x^2) \right)^5\) is 95.

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

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