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

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Question 853139: Factor x%5E12-y%5E12 as completely as possible with integral coefficients and integral exponents
Found 2 solutions by richwmiller, Edwin McCravy:
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
(x-y) (x+y) (x^2+y^2) (x^2-xy+y^2) (x^2+xy+y^2) (x^4-x^2y^2+y^4)

Answer by Edwin McCravy(20065) About Me  (Show Source):
You can put this solution on YOUR website!
             

                         x12-y12
                           /\ 
                     (x6-y6)(x6+y6)
                    /  \       /  \
              (x3-y3)(x3+y3)(x2+y2)(y4+x2y2+y4)  
             /   \     /  \
        (x+y)(x2-xy+y2)(x-y)(x2+xy+y2)

(x+y)(x2-xy+y2)(x-y)(x2+xy+y2)(x2+y2)(y4-x2y2+y4)

Edwin