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: 23



Work Step by Step

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