SOLUTION: Factor {{{x^12 - y^12}}} as completely as possible with integral coefficients and integral exponents

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Question 1132147: Factor x%5E12+-+y%5E12 as completely as possible with integral coefficients and integral exponents
Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.
x%5E12-y%5E12 = %28x%5E6-y%5E6%29%2A%28x%5E6%2By%5E6%29 =  = %28x-y%29%2A%28x%5E2%2Bxy%2By%5E2%29.%28x%2By%29%2A%28x%5E2-xy%2By%5E2%29.%28x%5E2%2By%5E2%29%2A%28x%5E4-x%5E2%2Ay%5E2%2By%5E4%29.

Completed and solved.