#### Answer

$= \frac{(2x+5)}{(4x+5)}$

#### Work Step by Step

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

Published by
Brooks Cole

ISBN 10:
0-53449-636-9

ISBN 13:
978-0-53449-636-4

$= \frac{(2x+5)}{(4x+5)}$

You can help us out by revising, improving and updating this answer.

Update this answerAfter you claim an answer you’ll have **24 hours** to send in a draft. An editor
will review the submission and either publish your submission or provide feedback.