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: 35

Answer

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

Work Step by Step

We switch from division to multiplication by taking the reciprocal of the bottom fraction. Then we factor and simplify: $\displaystyle\frac{\frac{x^{3}}{x+1}}{\frac{x}{x^{2}+2x+1}}=\frac{x^{3}}{x+1}.\frac{x^{2}+2x+1}{x}=\frac{x^{3}(x+1)(x+1)}{(x+1)x}=x^{2}(x+1)$
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