$${ x }^{ 3 } - { x }^{ 2 } -xy+x+y-1$$
$\left(x-1\right)\left(x^{2}-y+1\right)$
$$x\left(x^{2}-y+1\right)-\left(x^{2}-y+1\right)$$
$$\left(x^{2}-y+1\right)\left(x-1\right)$$
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