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Expand $\dfrac{1}{\sqrt[3]{(1 + 6x)}}$ in ascending powers of $x$, as far as and including the term in $x^3$, with the coefficients simplified.
Mathematics 9709 · AS & A Level · Algebra
Expand $\dfrac{1}{\sqrt[3]{(1 + 6x)}}$ in ascending powers of $x$, as far as and including the term in $x^3$, with the coefficients simplified.
This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “State an unsimplified correct expression for the $x$ or $x^2$ or $x^3$ term appearing in the expansion of $(1+6x)^{-3}$” …