Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 7 - Section 7.3 - Adding and Subtracting Rational Expressions with the Same Denominator and Least Common Denominator - Exercise Set - Page 507: 10

Answer

x-2

Work Step by Step

$\frac{x^{2}+9x}{x+7}$-$\frac{4x+14}{x+7}$= $\frac{x^{2}+9x-(4x+14)}{x+7}$= $\frac{x^{2}+9x-4x-14}{x+7}$= $\frac{x^{2}+5x-14}{x+7}$= $\frac{x^{2}+7x-2x-14}{x+7}$= $\frac{x(x+7)-2(x+7)}{x+7}$= $\frac{(x-2)(x+7))}{x+7}$= x-2
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