Mathematics 9709 · AS & A Level · Series

Series — practice question

(i)[3]

State the first three terms, arranged from highest to lowest power of $x$, in the expansion of $(x - \frac{2}{x})^6$.

(ii)[2]

State the coefficient of $x^4$ in the expansion of $(1 + x^2)(x - \frac{2}{x})^6$.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: The correctly expanded form is $(x-\dfrac{2}{x})^6=x^6-12x^4+60x^2$.

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