Factorize:
a3-3a2b+3ab2-b3+8
Given,
a3 - 3a2b + 3ab2 - b3 + 8,
= {(a)3 – (b)3 -3ab (a-b)} +8
= (a-b)3 + (2)3
= (a – b +2) {(a - b)2 +(2)2 +2(a - b)}
= (a - b +2)(a2 -2ab +b2 +4+2a – 2b)