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: 32

Answer

$0$

Work Step by Step

Subtracting the numerators and copying the denominator, the given expression, $ \dfrac{3a^2+7}{a^2-2a-8}-\dfrac{7+3a^2}{a^2-2a-8} ,$ simplifies to \begin{array}{l}\require{cancel} \dfrac{3a^2+7-(7+3a^2)}{a^2-2a-8} \\\\= \dfrac{3a^2+7-7-3a^2}{a^2-2a-8} \\\\= \dfrac{0}{a^2-2a-8} \\\\= 0 .\end{array}
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