Question

Add$\frac{p^2+10p}{p+2}+\frac{16}{p+2}$

Short answer

The required expression is$p+8$.

Step-by-step solution

Given information

The given expression is$\frac{p^2+10p}{p+2}+\frac{16}{p+2}$

Simplifying the expression

The denominators are same, combining the terms:

$\frac{p^2+10p+16}{p+2}$

Factorizing the numerator:

$\frac{(p+8)(p+2)}{p+2}$

Cancel the common factor from the numerator and denominator:

$p+8$