Question 828779
How to factor this equation: x^6 - y^6?


-----------------------------------------------------------------------------


x^6 - y^6


x^(3*2) - y^(3*2)


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


(x^3 - y^3)(x^3 + y^3) ... use the difference of squares factoring rule


(x-y)(x^2 + xy + y^2)(x^3 + y^3) ... use the difference of cubes factoring rule to factor x^3 - y^3


(x-y)(x^2 + xy + y^2)(x+y)(x^2 - xy + y^2) ... use the sum of cubes factoring rule to factor x^3 + y^3


(x-y)(x+y)(x^2 + xy + y^2)(x^2 - xy + y^2) ... Rearrange factors (optional)