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: 64

Answer

$\color{blue}{\dfrac{6}{p-q}}$

Work Step by Step

Factor out $-1$ in the denominator of the subtrahend to obtain: $=\dfrac{4}{p-q} - \dfrac{2}{-1(-q+p)} \\=\dfrac{4}{p-q} - \dfrac{-2}{p-q}$ The expressions are similar so subtract the numerators and copy the denominator to obtain: $=\dfrac{4-(-2)}{p-q} \\=\dfrac{4+2}{p-q} \\=\color{blue}{\dfrac{6}{p-q}}$
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