Question 3 - A-Level Maths

Exam Board	CAIE
Module	P1 (Pure Mathematics 1)
Year	2015
Session	June
Topic	Binomial Theorem (positive integer n)
Type	Simplify to standard form

Find the first three terms, in ascending powers of \(x\), in the expansion of
(a) \(\quad ( 1 - x ) ^ { 6 }\),
(b) \(( 1 + 2 x ) ^ { 6 }\).
Hence find the coefficient of \(x ^ { 2 }\) in the expansion of \([ ( 1 - x ) ( 1 + 2 x ) ] ^ { 6 }\).