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: 52

Answer

$\color{blue}{\dfrac{47}{20p}}$

Work Step by Step

The expressions are not similar since they have different denominators. Make the expressions similar using their LCD which is $4(5)(p) = 20p$ to obtain: $=\dfrac{8\color{red}{(4)}}{5p\color{red}{(4)}}+\dfrac{3\color{red}{(5)}}{4p\color{red}{(5)}} \\=\dfrac{32}{20p}+\dfrac{15}{20p} \\=\dfrac{32+15}{20p} \\=\color{blue}{\dfrac{47}{20p}}$
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