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: 19



Work Step by Step

Adding the numerators and copying the denominator, the given expression, $ \dfrac{a^2}{a-4}+\dfrac{a-20}{a-4} ,$ simplifies to \begin{array}{l}\require{cancel} \dfrac{a^2+a-20}{a-4} \\\\= \dfrac{(a+5)(a-4)}{a-4} \\\\= \dfrac{(a+5)(\cancel{a-4})}{\cancel{a-4}} \\\\= a+5 .\end{array}
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