Question

Factorize each of the following algebraic expressions

$(x-y{)}^2+(x-y)$

Answer 1

Given: $(x-y{)}^2+(x-y)$

$\therefore (x-y{)}^2+(x-y)$
$=(x-y)(x-y+1)$ [Taking $(x-y)$ common]

Hence, the factorized form of the given expression is $(x-y)(x-y+1).$