(a)[4]
Determine the value of the non-zero constant $a$.
(b)[1]
Determine the coefficient of $x^6$ in the expansion of $(1 - x^3)(2x^2 + \frac{a}{x})^6$.
Mathematics 9709 · AS & A Level · Series
Series — practice question
When $(2x^2 + \frac{a}{x})^6$ is expanded, the coefficients attached to $x^6$ and $x^3$ match.
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Apply binomial expansion, or an equivalent series method, to $(2x^2+a/x)^3$” …
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