how to get from step 2 to step 3

Question

1. (x^3 + y^3) + xy(x + y)
2. (x + y)(x^2 - xy + y^2) + xy(x + y)
3. (x + y)(x^2 + y^2)

objective: factorization

Reiny · Answer

2. (x + y)(x^2 - xy + y^2) + xy(x + y) 2. a) = (x + y)(x^2 - xy + y^2 + xy) x+y was a common factor ... 3. (x + y)(x^2 + y^2)

vaishnavi · Answer

thank u sooo much !!!! ur a lifesaver :D