Question

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

Answer 1

$$x^2-11xy-x+11y=(x^2-x)+(11y-11xy)$$[Regrouping the expressions]
$$=x(x-1)+11y(1-x)$$
$$=x(x-1)-11y(x-1)[\because (1-x)=-(x-1)]$$
$$=(x-11y)(x-1)$$[Taking out the common factor (x - 1)]