Question 2 - A-Level Maths

Exam Board	CAIE
Module	P1 (Pure Mathematics 1)
Year	2010
Session	June
Topic	Binomial Theorem (positive integer n)
Type	Product with reciprocal term binomial

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