Factorise the following expression:
4x2 - 8x + 4
We have
4x2 - 8x + 4 = (2x)2 -2(2x)(2) + (2)2
= (2x - 2)2 = (2x -2) (2x - 2)
= 2(x - 1)2(x - 1)
= 4(x - 1) (x - 1)
∴ 4x2 - 8x + 4 = 4(x - 1) (x - 1) = (4(x - 1)2