9709 P32 - Jun 2018 - Q9
2053
Let \(f(x) = \frac{x - 4x^2}{(3-x)(2+x^2)}\).
(i) Express \(f(x)\) in the form \(\frac{A}{3-x} + \frac{Bx+C}{2+x^2}\).
(ii) Hence obtain the expansion of \(f(x)\) in ascending powers of \(x\), up to and including the term in \(x^3\).
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