Question

Add:$\frac{9x+14}{x+7}+\frac{x^2}{x+7}$

Short answer

The addition is$x+2$.

Step-by-step solution

Given Information

The given expression is,$\frac{9x+14}{x+7}+\frac{x^2}{x+7}$.

Simplification

Make common denominator:

$\frac{x^2+9x+14}{x+7}$

Factor numerator:

$\frac{(x+7)(x+2)}{x+7}$

Cancel like factor from numerator and denominator:

$x+2$