Question

Factorise completely by removing a monomial factor.
$x^2{y}^{}+x{y}^2$

Answer 1

Given binomial is $x^{2}y+x{y}^2$

Taking $xy$ common from both terms, we get:

$xy(x+y)$

$\Rightarrow \left(xy\right)(x+y)$

Hence, the given binomial can be represented as the product of a monomial and a binomial as: $x^{2}y+x{y}^2=\left(xy\right)(x+y)$.