How do you factor $x^6 - y^6$ ?

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Answer 1 · 2018-07-09T23:21:31

$x^6-y^6=(x-y)(x+y)(x^4+y^4+x^2y^2)$

$x^6-y^6$

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

$=(x^2-y^2)((x^2)^2+(y^2)^2+(x^2)(y^2))$

$=(x^2-y^2)(x^4+y^4+x^2y^2)$

$=(x-y)(x+y)(x^4+y^4+x^2y^2)$

How do you factor x^6 - y^6x^6 - y^6?