Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 6 - Section 6.2 - Adding and Subtracting Rational Expressions - Exercise Set: 100

Answer

if the denominators use the same factor, but with different exponents.

Work Step by Step

The $LCD$ of two rational expressions with different denominators is equal to one of the denominators if the denominators use the same factor, but with different exponents. For example, the $LCD$ of $\dfrac{3x}{x+2}$ and $\dfrac{7x+1}{(x+2)^3}$ is $(x+2)^3$ since both denominators use the same factor, but with different exponents.
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