Answer
$\dfrac{2x+3}{2}$
Work Step by Step
Given: $\dfrac{2x^2+13x+15}{2x+10}$
Need to find the common factors of the given expression.
$\dfrac{2x^2+13x+15}{2x+10}=\dfrac{(2x+3)(x+5)}{2(x+5)}$
$=\dfrac{2x+3}{2}$
After simplification, we get
$=\dfrac{2x+3}{2}$