Question 3 - A-Level Maths

Exam Board	OCR
Module	C2 (Core Mathematics 2)
Year	2006
Session	January
Topic	Binomial Theorem (positive integer n)
Type	Standard product of two binomials

Find the first three terms of the expansion, in ascending powers of $x$, of $( 1 - 2 x ) ^ { 12 }$.
Hence find the coefficient of $x ^ { 2 }$ in the expansion of $$( 1 + 3 x ) ( 1 - 2 x ) ^ { 12 } .$$