Question

Add$\frac{q^2+12q}{q+3}+\frac{27}{q+3}$

Short answer

The required expression is$q+9$

Step-by-step solution

Given information

The given expression is$\frac{q^2+12q}{q+3}+\frac{27}{q+3}$

Simplifying the expression

The two rational expressions have same denominators, so combining the two expressions:

$\frac{q^2+12q+27}{q+3}$

Factorizing the numerator:

$\frac{(q+3)(q+9)}{q+3}$

Cancel the same factor:

$q+9$