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

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Answer 1 · 2018-07-09T23:21:31

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

$x^{6} - y^{6}$ $x^6-y^6$

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

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

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

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

How do you factor x6−y6x^6 - y^6?