(i)[3]
Find the first $3$ terms of the expansion of $(2x - \frac{3}{x})^5$ in descending powers of $x$.
(ii)[2]
Hence find the coefficient of $x$ in the expansion of $(1 + \frac{2}{x^2})(2x - \frac{3}{x})^5$.
Mathematics 9709 · AS & A Level · Series
Mathematics 9709 · AS & A Level · Series
Find the first $3$ terms of the expansion of $(2x - \frac{3}{x})^5$ in descending powers of $x$.
Hence find the coefficient of $x$ in the expansion of $(1 + \frac{2}{x^2})(2x - \frac{3}{x})^5$.