Question

Factorise 4y2 12y + 9

Answer 1

4y2 = (2y)2, 9 = 32 and 12y = 2 3 (2y)
Therefore,
4y2 12y + 9
= (2y)2 2 3 (2y) + (3)2
=( 2y 3)2 .........(required factorisation)