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 - Page 393: 11

Answer

$\dfrac{8}{4x-7}$

Work Step by Step

When adding two fractions with common denominators, we add or subtract the numerators and copy the denominator. Therefore, the given expression, $ \dfrac{11}{4x-7}-\dfrac{3}{4x-7} ,$ simplifies to \begin{array}{l}\require{cancel} \dfrac{11-3}{4x-7} \\\\= \dfrac{8}{4x-7} .\end{array}
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