Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 6 - Section 6.2 - Adding and Subtracting Rational Expressions - 6.2 Exercises: 32

Answer

$(r+s)(r-s)$

Work Step by Step

We are given the denominators $r+s$, $r-s$, and $r^{2}-s^{2}$. In order to find the least common denominator, we must factor each denominator. $r+s$ cannot be simplified further $r-s$ cannot be simplified further $r^{2}-s^{2}=(r+s)(r-s)$ Next, we multiply together all distinct factors from each denominator, with each factor raised to the greatest power that occurs in any denominator. $LCD=(r+s)(r-s)$
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