How do you factor: # x^3 + y^3 #?

1 Answer
Nov 30, 2015

Answer:

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

Explanation:

This is a sum of cubes.

This is a semi-important identity to know:

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

Although it doesn't apply directly to this question, it's also important to know that #(x^3-y^3)=(x-y)(x^2+xy+y^2)#.

This gives us the rule: #(x^3+-y^3)=(x+-y)(x^2∓xy+y^2)#