Question 4 - A-Level Maths

Exam Board	CAIE
Module	P1 (Pure Mathematics 1)
Year	2012
Session	November
Topic	Binomial Theorem (positive integer n)
Type	Binomial times linear coefficient

Find the first 3 terms in the expansion of \(\left( 2 x - x ^ { 2 } \right) ^ { 6 }\) in ascending powers of \(x\).
Hence find the coefficient of \(x ^ { 8 }\) in the expansion of \(( 2 + x ) \left( 2 x - x ^ { 2 } \right) ^ { 6 }\).