College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter P, Prerequisites - Section P.7 - Rational Expressions - P.7 Exercises - Page 51: 49

Answer

$\frac{2x+1}{x^{2}(x+1)}$

Work Step by Step

We form a common denominator: $\displaystyle \frac{1}{x^{2}}+\frac{1}{x^{2}+x}=\frac{1}{x^{2}}+\frac{1}{x(x+1)}=\frac{x+1}{x^{2}(x+1)}+\frac{x}{x^{2}(x+1)}=\frac{2x+1}{x^{2}(x+1)}$
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