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Expand $(2 - x)(1 + 2x)^{-\frac{3}{2}}$ into ascending powers of $x$, retaining terms up to and including $x^2$, and simplify the coefficients.
Mathematics 9709 · AS & A Level · Algebra
Expand $(2 - x)(1 + 2x)^{-\frac{3}{2}}$ into ascending powers of $x$, retaining 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: “State the correct unsimplified first two terms in the expansion of $(1+2x)^{-\frac{3}{2}}$, for example $1-\frac{3}{2}(2x)$” …