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: 25



Work Step by Step

$y^2-5y+6=y^2-2y-3y+6=y(y-2)-3(y-2)=(y-2)(y-3)$, $y^2-4y-5=y^2-y+5y-5=y(y-1)+5(y-1)=(y-1)(y+5)$, so the GCF is $1$ and the terms that are "not common" are $(y-2),(y-3),(y-1),(y+5)$ so LCD$=(y-2)(y-3)(y-1)(y+5)$
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