Factor completely, then place the answer in the proper location on the grid. x 3 - y 3

The polynomial to be factored is x^3 - y^3.

Use the notable quotient:

a^3 - b^3      
=  a^2 + ab + b^2
   a - b

So, a^3 - b^3 = (a^2 + ab + b^2) (a - b)

And x^3 - y^3 = (x - y) (x^2 + xy + y^2).

x^3 - y^3 = (x - y) (x^2 + xy + y^2)