Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 4 - Section 4.5 - Dividing Polynomials - 4.5 Exercises: 11

Answer

$\dfrac{2}{7n}-\dfrac{3}{2m}+\dfrac{9}{7mn}$

Work Step by Step

Dividing the denominator to each of the terms of the numerator, the given expression, $ \dfrac{4m^2n^2-21mn^3+18mn^2}{14m^2n^3} ,$ simplifies to \begin{array}{l}\require{cancel} \dfrac{4m^2n^2}{14m^2n^3}-\dfrac{21mn^3}{14m^2n^3}+\dfrac{18mn^2}{14m^2n^3} \\\\= \dfrac{2}{7n}-\dfrac{3}{2m}+\dfrac{9}{7mn} .\end{array}
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