Question 3 - A-Level Maths

Exam Board	CAIE
Module	P1 (Pure Mathematics 1)
Year	2022
Session	November
Topic	Binomial Theorem (positive integer n)
Type	Standard product of two binomials

Find the first three terms in ascending powers of \(x\) of the expansion of \(( 1 + 2 x ) ^ { 5 }\).
Find the first three terms in ascending powers of \(x\) of the expansion of \(( 1 - 3 x ) ^ { 4 }\).
Hence find the coefficient of \(x ^ { 2 }\) in the expansion of \(( 1 + 2 x ) ^ { 5 } ( 1 - 3 x ) ^ { 4 }\).