Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 7 - Section 7.4 - Adding and Subtracting Rational Expressions with Different Denominators - Exercise Set: 12

Answer

$\frac{10y+5-y^{3}}{y^{2}(2y+1)}$

Work Step by Step

$\frac{5}{y^{2}}$-$\frac{y}{2y+1}$= $\frac{5(2y+1)}{y^{2}(2y+1)}$-$\frac{y*y^{2}}{(2y+1)y^{2}}$= $\frac{5(2y+1)-y^{3}}{y^{2}(2y+1)}$= $\frac{10y+5-y^{3}}{y^{2}(2y+1)}$
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