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: 54

Answer

$\color{blue}{\dfrac{101}{12p}}$

Work Step by Step

The expressions are not similar since they have different denominators. Make the expressions similar using their LCD which is $3(4)(p) = 12p$ to obtain: $=\dfrac{8\color{red}{(4)}}{3p\color{red}{(4)}}+\dfrac{5\color{red}{(3)}}{4p\color{red}{(3)}}+\dfrac{9\color{red}{(6)}}{2p\color{red}{(6)}} \\=\dfrac{32}{12p}+\dfrac{15}{12p}+\dfrac{54}{12p} \\=\dfrac{32+15+54}{12p} \\=\color{blue}{\dfrac{101}{12p}}$
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