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Expand $\frac{4}{\sqrt{4 - 3x}}$ 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 $\frac{4}{\sqrt{4 - 3x}}$ 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: “Find a correct unsimplified form of the $x$ term or the $x^2$ term from the expansion of $(4-3x)^{-\frac{1}{2}}$ or $\left(1-\frac{3}{4}x\right)^{-\frac{1}{2}}$” …