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Expand $(3 + x)\sqrt{1 - 2x}$ as a series in ascending powers of $x$, including terms up to and including $x^2$, and simplify the coefficients.
Mathematics 9709 · AS & A Level · Algebra
Expand $(3 + x)\sqrt{1 - 2x}$ as a series 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: “State the first two terms of the expansion of $(1-2x)^{\frac12}$ in unsimplified form, for example $1+\frac12(-2x)$” …