factoring (x^+y^)(x^3+y^3)

Question

I need to factor (x^+y^)(x^3+y^3) to get a polynomial that contains Only x+y and xy. Is this possible?

Answer 1

x³ + y³ is a sum of perfect cubes.

 

x³ + y³ = (x + y)(x² - xy + y²)

 

 

Multiply this by the other factor.