Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 6 - Section 6.2 - Adding and Subtracting Rational Expressions - Exercise Set - Page 427: 26

Answer

$(y+4)(y-5)(2y-1)$

Work Step by Step

$y^2-y-20=y^2-5y+4y-20=y(y-5)+4(y-5)=(y-5)(y+4)$, $2y^2+7y-4=2y^2+8y-y-4=2y(y+4)-(y+4)=(y+4)(2y-1)$, so the GCF is $(y+4)$ and the terms that are "not common" are $(y-5),(2y-1)$ so LCD$=(y+4)(y-5)(2y-1)$
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