Answer
$\frac{3x+2}{(x+1)^{2}}$
Work Step by Step
We form a common denominator:
$\displaystyle \frac{x}{(x+1)^{2}}+\frac{2}{x+1}=\frac{x}{(x+1)^{2}}+\frac{2(x+1)}{(x+1)(x+1)}=\frac{x+2x+2}{(x+1)^{2}}=\frac{3x+2}{(x+1)^{2}}$
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: 46
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