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: 46

Answer

$\frac{3x+2}{(x+1)^{2}}$

Work Step by Step

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