Question:
Factorize each of the following expression:
x2 + y − xy − x
Solution:
$x^{2}+y-x y-x=\left(x^{2}-x y\right)+(y-x) \quad[$ Regrouping the expressions $]$
$=x(x-y)+(y-x)$
$=x(x-y)-(x-y)$ $[\because(y-x)=-(x-y)]$
$=(x-1)(x-y)$ $[$ Taking $(x-y)$ as the common expression $]$
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