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 - Page 382: 24



Work Step by Step

We are given the denominators $24a^{3}b^{4}$ and $18a^{5}b^{2}$. In order to find the least common denominator, we must factor each denominator. $24a^{3}b^{4}=3\times2\times2\times2\times a^{3}\times b^{4}=3\times2^{3}\times a^{3}\times b^{4}$ $18a^{5}b^{2}=3\times3\times2\times a^{5}\times b^{2}=3^{2}\times2\times a^{5}\times b^{2}$ Next, we multiply together all distinct factors from each denominator, with each factor raised to the greatest power that occurs in any denominator. $LCD=3^{2}\times2^{3}\times a^{5}\times b^{4}=9\times8\times a^{5}\times b^{4}=72a^{5}b^{4}$
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