Question
Factorize of the following expressions:
$x^2+ y - xy - x$
$x^2+ y - xy - x$
✓
Answer
$x^2+y-x y-x=\left(x^2-x y\right)+(y-x)$
$= x(x - y) + (y - x)$
$= x(x - y) - (x - y) [(y - x)$
$= -(x - y)] = (x - 1)(x - y)$ [taking $(x - y)$ as the common factor]
$= x(x - y) + (y - x)$
$= x(x - y) - (x - y) [(y - x)$
$= -(x - y)] = (x - 1)(x - y)$ [taking $(x - y)$ as the common factor]
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