Factorize:
x3+8y3+6x2y+12xy2
Given,
x3+8y3+6x2y+12xy2,
= (x)3+(2y)3 +6xy (x +2y)
= (x)3+(2y)3 +3×x×2y (x +2y)
= (x+2y)3
= (x +2y) (x +2y) (x +2y)