Mathematics 9709 · AS & A Level · Series

Series — practice question

(a(i))[3]

Find the first 3 terms when $(2x - x^2)^6$ is expanded in ascending powers of $x$.

(a(ii))[2]

Hence find the coefficient of $x^8$ that appears when $(2 + x)(2x - x^2)^6$ is expanded.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: The correct expansion is $(2x-x^2)^6 = 64x^6-192x^7+240x^8$

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