Question

How do you factor `x^6 - y^6`?

Answer 1

`x^6-y^6=(x-y)(x+y)(x^4+y^4+x^2y^2)`

Explanation:

`x^6-y^6`

`=(x^2)^3-(y^2)^3`

`=(x^2-y^2)((x^2)^2+(y^2)^2+(x^2)(y^2))`

`=(x^2-y^2)(x^4+y^4+x^2y^2)`

`=(x-y)(x+y)(x^4+y^4+x^2y^2)`