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Write the expansion of $\frac{16}{(2 + x)^2}$ in ascending powers of $x$, including terms up to and including $x^2$, and simplify the coefficients.
Mathematics 9709 · AS & A Level · Algebra
Write the expansion of $\frac{16}{(2 + x)^2}$ in ascending powers of $x$, including terms up to and including $x^2$, and simplify the coefficients.
This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Derive a correct unsimplified version of the $x$ or $x^2$ term in the expansion of $(2+x)^{-2}$ or $(1+\tfrac{x}{2})^{-2}$” …