Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 7 - Section 7.2 - Multiplying and Dividing Rational Expressions - Exercise Set: 26

Answer

$\dfrac{(m-n)^{2}}{m+n}\div\dfrac{m^{2}-mn}{m}=\dfrac{m-n}{m+n}$

Work Step by Step

$\dfrac{(m-n)^{2}}{m+n}\div\dfrac{m^{2}-mn}{m}$ Take out common factor $m$ from the numerator of the second fraction: $\dfrac{(m-n)^{2}}{m+n}\div\dfrac{m^{2}-mn}{m}=\dfrac{(m-n)^{2}}{m+n}\div\dfrac{m(m-n)}{m}=...$ Evaluate the division of the two rational expressions. Then, simplify by removing repeated factors in the numerator and the denominator: $...=\dfrac{m(m-n)^{2}}{m(m-n)(m+n)}=\dfrac{m-n}{m+n}$
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