Question

Factorize the following expression: $y(y+z)+9(y+z)$.

Answer 1

Factorize $\mathit{y}\mathbf{(}\mathit{y}\mathbf{+}\mathit{z}\mathbf{)}\mathbf{+}\mathbf{9}\mathbf{(}\mathit{y}\mathbf{+}\mathit{z}\mathbf{)}$.

Here $\left(y+z\right)$ is a common term.

That is

$y(y+z)+9(y+z)=\left(y+z\right)(y+9)$

Hence, the factorized expression is $\left(y+z\right)\mathbf{(}\mathit{y}\mathbf{+}\mathbf{9}\mathbf{)}$.