Question 3 - A-Level Maths

Exam Board	CAIE
Module	P1 (Pure Mathematics 1)
Year	2008
Session	June
Topic	Binomial Theorem (positive integer n)
Type	Standard product of two binomials

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