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Show that, for sufficiently small $x^2$, $(1 - 2x^2)^{-2} - (1 + 6x^2)^{\frac{2}{3}} \approx kx^4$, where the constant $k$ is still to be found.
Mathematics 9709 · AS & A Level · Algebra
Algebra — practice question
Worked solution & mark scheme
This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Correct unsimplified form of the $x^2$ or $x^4$ term in $(1-2x^2)^{-2$}” …
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