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: 63

Answer

$\color{blue}{\dfrac{4}{a-2}}$

Work Step by Step

Factor out $-1$ in the denominator of the subtrahend to obtain: $=\dfrac{3}{a-2} - \dfrac{1}{-1(-2+a)} \\=\dfrac{3}{a-2} - \dfrac{-1}{a-2}$ The expressions are similar so subtract the numerators and copy the denominator to obtain: $=\dfrac{3-(-1)}{a-2} \\=\dfrac{3+1}{a-2} \\=\color{blue}{\dfrac{4}{a-2}}$
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