(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.
Mathematics 9709 · AS & A Level · Series
Find the first 3 terms when $(2x - x^2)^6$ is expanded in ascending powers of $x$.
Hence find the coefficient of $x^8$ that appears when $(2 + x)(2x - x^2)^6$ is expanded.
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “The correct expansion is $(2x-x^2)^6 = 64x^6-192x^7+240x^8$” …