Answer
$= \frac{(2x+5)}{(4x+5)}$
Work Step by Step
$\frac{2x^{2}+11x+15}{4x^{2}+17x+15}$
$= \frac{2x^{2}+6x+5x+15}{4x^{2}+12x+5x+15}$
$= \frac{2x(x+3)+5(x+3)}{4x(x+3)+5(x+3)}$
$= \frac{(2x+5)(x+3)}{(4x+5)(x+3)}$
$= \frac{(2x+5)}{(4x+5)}$
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