What are the factors of $x^{2} + y - x y - x$ ?

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Solution

We write
$x^{2} + y - x y - x = (x^{2} - x y) + (y - x) = x (x - y) - 1 (x - y) = (x - 1) (x - y)$
We get factors as $x - 1$ and $x - y$ .

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