Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 7 - Rational Functions - 7.2 Simplifying Rational Expressions - 7.2 Exercises - Page 575: 26


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

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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