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Expand $\sqrt{9 - 3x}$ as a series in ascending powers of $x$, up to and including the term in $x^2$, and simplify the coefficients.
Mathematics 9709 · AS & A Level · Algebra
Expand $\sqrt{9 - 3x}$ as a series in ascending powers of $x$, up to and including the term in $x^2$, and simplify the coefficients.
This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Obtain a correct, unsimplified form of the $x$ or $x^2$ term from the expansion of $\sqrt{9-3x}\sqrt{1-\frac{1}{3}x}$” …