(a)[4]
Expand $(2-x^2)^{-2}$ as a series in ascending powers of $x$, up to and including the term in $x^4$, and simplify the coefficients.
(b)[1]
State the set of $x$ values for which the expansion is valid.
Mathematics 9709 · AS & A Level · Algebra
Algebra — practice question
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Give a correct unsimplified form of the $x^2$ term or the $x^4$ term from the expansion of $(2-x^2)^{-2}$ or $(1-\tfrac12x^2)^{-2}$” …
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