Question

Add:$\frac{x^2+8x}{x+5}+\frac{15}{x+5}$

Short answer

The required expression is$x+3$.

Step-by-step solution

Given Information

The given expression is,

$\frac{x^2+8x}{x+5}+\frac{15}{x+5}$

Simplifying the expression

Make common denominator:

$\frac{x^2+8x+15}{x+5}$

Factor the numerator:

$\frac{(x+5)(x+3)}{x+5}$

Cancel the like factor from the numerator and denominator:

$x+3$