Answer
$\frac{2x+1}{x^{2}(x+1)}$
Work Step by Step
We form a common denominator:
$\displaystyle \frac{1}{x^{2}}+\frac{1}{x^{2}+x}=\frac{1}{x^{2}}+\frac{1}{x(x+1)}=\frac{x+1}{x^{2}(x+1)}+\frac{x}{x^{2}(x+1)}=\frac{2x+1}{x^{2}(x+1)}$
College Algebra 7th Edition
by Stewart, James; Redlin, Lothar; Watson, Saleem
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
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