Answer
$\frac{u^{2}+3u+1}{u+1}$
Work Step by Step
We form a common denominator:
$\displaystyle u+1+\frac{u}{u+1}=\frac{(u+1)(u+1)}{u+1}+\frac{u}{u+1}=\frac{u^{2}+2u+1+u}{u+1}=\frac{u^{2}+3u+1}{u+1}$
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: 47
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