Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter R - Review of Basic Concepts - R.5 Rational Expressions - R.5 Exercises: 66

Answer

$\color{blue}{\dfrac{6m-4}{3m-4}}$

Work Step by Step

Factor out $-1$ in the denominator of the subtrahend to obtain: $=\dfrac{m-4}{3m-4} - \dfrac{5m}{-1(-4+3m)} \\=\dfrac{m-4}{3m-4} - \dfrac{-5m}{3m-4}$ The expressions are similar so subtract the numerators and copy the denominator to obtain: $=\dfrac{m-4-(-5m)}{3m-4} \\=\dfrac{m-4+5m}{3m-4} \\=\color{blue}{\dfrac{6m-4}{3m-4}}$
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