Algebra: A Combined Approach (4th Edition)

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

Chapter 7 - Test: 25

Answer

$\dfrac{5y^2-1}{y+2}$

Work Step by Step

$\dfrac{5-\dfrac{1}{y^2}}{\dfrac{1}{y}+\dfrac{2}{y^2}} = \dfrac{\dfrac{5y^2-1}{y^2}}{\dfrac{y^2+2y}{y^3}} = \dfrac{\dfrac{5y^2-1}{y^2}}{\dfrac{y(y+2)}{y^3}} = \dfrac{\dfrac{5y^2-1}{y^2}}{\dfrac{y+2}{y^2}} = \dfrac{y^2(5y^2-1)}{y^2(y+2)} = \dfrac{5y^2-1}{y+2}$
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