Question

Factorize:
x² + y − xy − x

Answer 1

We have:
$x^2+y-xy-x=\left(x^2-xy\right)-\left(x-y\right)$
$$\begin{gathered} =x\left(x-y\right)-1\left(x-y\right) \\ =\left(x-y\right)\left(x-1\right) \end{gathered}$$