How do you factorize these two questions: $X - y - x ^2+ y^2$ and $x^3 - 36 x$ ?

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Answer 1 · 2015-03-19T11:03:02

Watch the plusses and minuses!

$x-y-x^2+y^2$
$=x-y-(x^2-y^2)$
$=(x-y)-(x+y)(x-y)$
$=(1-x-y)(x-y)$

$x^3-36x$
$=x(x^2-36)$
$=x(x-6)(x+6)$

How do you factorize these two questions: X - y - x ^2+ y^2X - y - x ^2+ y^2 and x^3 - 36 xx^3 - 36 x?