Mathematics 9709 · AS & A Level · Series

Series — practice question

The coefficients of $x^2$ and $x^3$ in the expansion of $(3 - 2x)^6$ are $a$ and $b$ respectively.
(main)[4]

Calculate $\frac{a}{b}$.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: Determine the coefficient of $x^2$ in $(3-2x)^6$ as $3^4(-2)^2\times\binom{6}{2}=a$

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