CAIE P1 2013 June — Question 2

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2013
SessionJune
TopicBinomial Theorem (positive integer n)
TypeProduct with reciprocal term binomial

2 Find the coefficient of \(x ^ { 2 }\) in the expansion of
  1. \(\left( 2 x - \frac { 1 } { 2 x } \right) ^ { 6 }\),
  2. \(\left( 1 + x ^ { 2 } \right) \left( 2 x - \frac { 1 } { 2 x } \right) ^ { 6 }\).