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: 18


$= \frac{(x+7)}{(x-4)}$

Work Step by Step

$\frac{x^{2}+5x-14}{x^{2}-6x+8}$ $= \frac{x^{2}+7x-2x-14}{x^{2}-4x-2x+8}$ $= \frac{x(x+7)-2(x+7)}{x(x-4)-2(x-4)}$ $= \frac{(x-2)(x+7)}{(x-2)(x-4)}$ $= \frac{(x+7)}{(x-4)}$
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