Mathematics 9709 · AS & A Level · Series

Series — practice question

(a)[2]

Find the first three terms in the expansion, in ascending powers of $x$, of $(2 + 3x)^4$.

(b)[2]

Find the first three terms in the expansion, in ascending powers of $x$, of $(1 - 2x)^5$.

(c)[2]

Hence find the coefficient of $x^2$ in the expansion of $(2 + 3x)^4(1 - 2x)^5$.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Expanded correctly to $16+96x+216x^2$

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