Question

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

Answer 1

$x^6-y^6=x^{3*2}-y^{3*2}=(x^3)^2-(y^3)^2=[(x^3)-(y^3)]*[(x^3)+(y)^3]=$
$=[x^3-y^3]*[x^3+y^3]=$
$=[(x-y)(x^2+xy+y^2)]*[(x+y)(x^2-xy+y^2)]=$
$=(x-y)(x+y)(x^2+xy+y^2)(x^2-xy+y^2)$