Answer
$\frac{4}{(x+5)^2+7^2}$
Work Step by Step
$\frac{4}{x^2+10x+74}=\frac{4}{x^2+2(5)+5^2-5^2+74}=\frac{4}{(x+5)^2+49}=\frac{4}{(x+5)^2+7^2}$
Algebra and Trigonometry 10th Edition
by Larson, Ron
Published by
Cengage Learning
ISBN 10:
9781337271172
ISBN 13:
978-1-33727-117-2
Chapter 1 - 1.4 - Quadratic Equations and Applications - 1.4 Exercises - Page 110: 45
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