Factorize:
a3x3-3a2bx2+3ab2x-b3
Given,
a3x3-3a2bx2+3ab2x-b3,
= (ax)3 – 3abx(ax-b) – (b)3
= (ax)3 – (b)3 – 3abx (ax-b)
= (ax-b)3
= (ax-b) (ax-b) (ax-b)