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: 29

Answer

$(x+9)^{2}(x-9)$

Work Step by Step

We are given the denominators $x^{2}-81$ and $x^{2}+18x+81$. In order to find the least common denominator, we must factor each denominator. $x^{2}-81=(x+9)(x-9)$ $x^{2}+18x+81=(x+9)(x+9)=(x+9)^{2}$ Next, we multiply together all distinct factors from each denominator, with each factor raised to the greatest power that occurs in any denominator. $LCD=(x+9)^{2}\times(x-9)=(x+9)^{2}(x-9)$
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