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Factorisation by Regrouping Terms

Factorise: ...

Question

Factorise: $x^{2} - x y + y - x$

(x - y) (x + y)

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(x + 1) (x + y)

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(x - 1) (x - y)

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None of these

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Solution

The correct option is B $(x - 1) (x - y)$
$x^{2} - x y + y - x$
$= x (x - y) - 1 (x - y)$
$= (x - y) (x - 1)$

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