Question 2 - A-Level Maths

Exam Board	CAIE
Module	P1 (Pure Mathematics 1)
Year	2023
Session	June
Topic	Binomial Theorem (positive integer n)
Type	Standard product of two binomials

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