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: 31

Answer

$(m+n)(m-n)$

Work Step by Step

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