Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 8 - Rational Functions - 8-5 Adding and Subtracting Rational Expressions - Got It? - Page 535: 1

Answer

a. $2(x + 2)(x - 3)$ b. $(x + 4)(x - 1)(x - 2)^2$

Work Step by Step

a. Factor both expressions completely: $2(x + 2)$ and $(x - 3)(x + 2)$ The least common multiple of the two expressions would incorporate all factors in the two expressions: $2(x + 2)(x - 3)$ b. Factor all expressions completely: $(x + 4)(x - 1)$, $(x + 4)(x - 2)$ and $(x - 2)(x - 2)$ The least common multiple of these expressions would incorporate all factors in all three expressions: $(x + 4)(x - 1)(x - 2)^2$
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