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Expand $(3 + 2x)^{-3}$ as a series in ascending powers of $x$, including terms up to and including the $x^2$ term, and simplify the coefficients.
Mathematics 9709 · AS & A Level · Algebra
Expand $(3 + 2x)^{-3}$ as a series in ascending powers of $x$, including terms up to and including the $x^2$ term, and simplify the coefficients.
This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “State a correct unsimplified form of the $x$ or $x^2$ term in the expansion of $(1+\frac{2}{3}x)^{-3}$ or $(3+2x)^{-3}$” …