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Factorisation by Regrouping Terms

Factor of x^2...

Question

Factors of: $x^{2} + y - x y - x$

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Solution

Factorize the Expression:
The given expression is,
$x^{2} + y - x y - x = x^{2} - x - x y + y$
$= x (x - 1) - y (x - 1)$
$= (x - 1) (x - y)$
Hence the factors of $x^{2} + y - x y - x$ are $(x - 1)$ and $(x - y)$ .

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