College Algebra (11th Edition)

Published by Pearson
ISBN 10: 0321671791
ISBN 13: 978-0-32167-179-0

Chapter R - Review Exercises - Page 76: 83



Work Step by Step

The given expression, $ \dfrac{m}{4-m}+\dfrac{3m}{m-4} ,$ simplifies to \begin{array}{l}\require{cancel} \dfrac{m}{4-m}+\dfrac{3m}{-(-m+4)} \\\\= \dfrac{m}{4-m}-\dfrac{3m}{4-m} \\\\= \dfrac{m-3m}{4-m} \\\\= \dfrac{-2m}{4-m} \\\\= \dfrac{-2m}{-(-4+m)} \\\\= \dfrac{2m}{m-4} .\end{array}
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