Factor x6 - y 6 completely. Show your work.

x6 - y 6 =

Problem: x^6-y^6

Step 1: x^6-y^6 = (x^3+y^3) (x^3-y^3) - difference of square rule

Step 2: x^3+y^3 = (x+y) (x^2-xy+y^2) - factor

Step 3: x^3-y^3 = (x-y) (x^2+xy+y^2) - factor

Answer: (x+y) (x-y) (x^2-xy+y^2) (x^2+xy+y^2)