Question 1 - A-Level Maths

Exam Board	OCR
Module	C2 (Core Mathematics 2)
Year	2011
Session	January
Topic	Binomial Theorem (positive integer n)
Type	Binomial times linear coefficient

Find and simplify the first three terms, in ascending powers of \(x\), in the binomial expansion of \(( 1 + 2 x ) ^ { 7 }\).
Hence find the coefficient of \(x ^ { 2 }\) in the expansion of \(( 2 - 5 x ) ( 1 + 2 x ) ^ { 7 }\).