SOLUTION: please show me how you got the answer. Factor this expression completely. x6 - y6

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Question 277522: please show me how you got the answer.
Factor this expression completely.
x6 - y6

Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E6+-+y%5E6 is a difference of two squares
%28x%5E3+-+y%5E3%29%28x%5E3+%2B+y%5E3%29
Now factor those using the difference and sum of cubes formulas
to get
%28x-y%29+%28x%2By%29+%28x%5E2-x+y%2By%5E2%29+%28x%5E2%2Bx+y%2By%5E2%29
see this link for sum/diff of cubes --> http://library.thinkquest.org/20991/gather/formula/index.html