(i)[5]
Write $\frac{7x^2 + 8}{(1 + x)^2(2 - 3x)}$ as partial fractions.
(ii)[5]
Hence expand $\frac{7x^2 + 8}{(1 + x)^2(2 - 3x)}$ in ascending powers of $x$ up to and including the term in $x^2$, with the coefficients simplified.
Mathematics 9709 · AS & A Level · Algebra
Write $\frac{7x^2 + 8}{(1 + x)^2(2 - 3x)}$ as partial fractions.
Hence expand $\frac{7x^2 + 8}{(1 + x)^2(2 - 3x)}$ in ascending powers of $x$ up to and including the term in $x^2$, with the coefficients simplified.
This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Give, or make clear, the correct partial fraction arrangement” …