Answer
$\frac{2x+3}{2}, with$ $x\ne-5$
Work Step by Step
Given : $\frac{2x^{2}+13x+15}{2x+10}$
This becomes : $\frac{(2x+3)(x+5)}{2(x+5)}$
(Factor the numerator and the denominator)
$=\frac{2x+3}{2}$
(After dividing out the common factors)