Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Appendix A - A Exercises - Page A6: 14

Answer

$x^2(x^2+1)^{-5}-(x^2+1)^{-4}=-(x^2+1)^{-5}$

Work Step by Step

$x^2(x^2+1)^{-5}-(x^2+1)^{-4}=x^2(x^2+1)^{-5}-(x^2+1)^{-5+1}=x^2(x^2+1)^{-5}-(x^2+1)^{-5}(x^2+1)=(x^2+1)^{-5}(x^2-x^2-1)=-(x^2+1)^{-5}$
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