(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 $(1 + x^2)(x - \frac{2}{x})^6$.
Mathematics 9709 · AS & A Level · Series
State the first three terms, arranged from highest to lowest power of $x$, in the expansion of $(x - \frac{2}{x})^6$.
State the coefficient of $x^4$ in the expansion of $(1 + x^2)(x - \frac{2}{x})^6$.
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “The correctly expanded form is $(x-\dfrac{2}{x})^6=x^6-12x^4+60x^2$.” …