Question

Factorise

x
^2 + y − xy − x

Answer 1

$\Longrightarrow{\boxed{\bold{Answer:(x-y)(x-1)}}}$

$\textbf{\underline{Step-by-step explanation :- }}$

$\bold{= {x}^{2} + y - xy - x}\\ \\ \bold{ Repositioning\:of\:terms\:again} \\ \\ \bold{= {x}^{2} - xy - x + y} \\ \\ \bold{Take\:terms\:and\:sign\:common} \\ \\ \bold{ = x(x - y) - 1(x - y)} \\ \\ \bold{Taking\:x-y\:as\:common} \\ \\ \bold{ = (x - y)(x - 1)}$