Mathematics 9709 · AS & A Level · Series

Series — practice question

For each expansion, determine the term that does not involve $x$.
(a)[3]

Determine the term that is independent of $x$ in $(3x + \frac{2}{x^2})^6$.

(b)[3]

Determine the term that is independent of $x$ in $(3x + \frac{2}{x^2})^6(1 - x^3)$.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: The correct binomial coefficient term is $\binom{6}{2}(3x)^{4}\left(\frac{2}{x^{2}}\right)^{2}$

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