Question

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

Answer 1

\[x^2 + y - xy - x = ( x^2 - xy) + (y - x)\] [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]