Question 277522
{{{x^6 - y^6}}} is a difference of two squares
{{{(x^3 - y^3)(x^3 + y^3)}}}
Now factor those using the difference and sum of cubes formulas
to get
{{{(x-y) (x+y) (x^2-x y+y^2) (x^2+x y+y^2)}}}

see this link for sum/diff of cubes --> http://library.thinkquest.org/20991/gather/formula/index.html