Question

Factorize each of the following expression:
x² − 11xy − x + 11y

Answer 1

$$\begin{gathered} x^2-11xy-x+11y=(x^2-x)+(11y-11xy)[Regroupingtheexpressions] \\ =x(x-1)+11y(1-x) \\ =x(x-1)-11y(x-1)[\because (1-x)=-(x-1\left)\right] \\ =(x-11y)(x-1)[Takingoutthecommonfactor(x-1\left)\right] \end{gathered}$$