Question

Factorize each of the following expression:
x² + y − xy − x

Answer 1

$$\begin{gathered} x^2+y-xy-x=(x^2-xy)+(y-x)[Regroupingtheexpressions] \\ =x(x-y)+(y-x) \\ =x(x-y)-(x-y)[\because (y-x)=-(x-y\left)\right] \\ =(x-1)(x-y)[Taking(x-y)asthecommonexpression] \end{gathered}$$