Question

Factorize the expression $\left(y^2+7y+10\right)÷\left(y+5\right)$

Answer 1

$\frac{y^2+7y+10}{y+5}=\frac{y^2+5y+2y+10}{y+5}$

$=\frac{y(y+5)+2(y+5)}{y+5}$

$=\frac{(y+2)(y+5)}{y+5}$

$=y+2$