$\displaystyle x^3 - x - y^3 + y$
$\displaystyle x^3 - x - y^3 + y$
$\displaystyle = (x^3 - x) - (y^3 - y)
= x(x^2 - 1) - y(y^2 - 1)$
What do I do after this?
The answer in packet says:
$\displaystyle (x - y)(x^2 + xy + y^2 -1 )$
$\displaystyle x^3 - x - y^3 + y$
$\displaystyle x^3 - x - y^3 + y$
$\displaystyle = (x^3 - x) - (y^3 - y)
= x(x^2 - 1) - y(y^2 - 1)$
What do I do after this?
The answer in packet says:
$\displaystyle (x - y)(x^2 + xy + y^2 -1 )$