Question 3 - A-Level Maths

Exam Board	CAIE
Module	P1 (Pure Mathematics 1)
Year	2021
Session	June
Topic	Binomial Theorem (positive integer n)

Find the first three terms in the expansion of \(( 3 - 2 x ) ^ { 5 }\) in ascending powers of \(x\).
Hence find the coefficient of \(x ^ { 2 }\) in the expansion of \(( 4 + x ) ^ { 2 } ( 3 - 2 x ) ^ { 5 }\).