Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 6 - Rational Expressions and Equations - 6.3 Addition, Subtraction, and Least Common Denominators - 6.3 Exercise Set: 12

Answer

$\dfrac{4}{2x+3}$

Work Step by Step

When subtracting two fractions with common denominators, we subtract the numerators and copy the denominator. Therefore, the given expression, $ \dfrac{9}{2x+3}-\dfrac{5}{2x+3} ,$ simplifies to \begin{array}{l}\require{cancel} \dfrac{9-5}{2x+3} \\\\= \dfrac{4}{2x+3} .\end{array}
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