Question 6 - A-Level Maths

Exam Board	OCR
Module	H240/01 (Pure Mathematics)
Year	2022
Session	June
Topic	Binomial Theorem (positive integer n)
Type	Substitution into binomial expansion

Find the first four terms in the expansion of \(( 3 + 2 x ) ^ { 5 }\) in ascending powers of \(x\).
Hence determine the coefficient of \(y ^ { 3 }\) in the expansion of \(\left( 3 + 2 y + 4 y ^ { 2 } \right) ^ { 5 }\).