Factorize:

8x3+y3+12x2y+6xy2

Given,


8x3+y3+12x2y+6xy2,


= (2x)3+(y)3 +6xy (2x +y)


= (2x)3+(y)3 +3×2x×y (2x +y)


= (2x+y)3


= (2x +y) (2x +y) (2x +y)


7