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: 2

Answer

$\dfrac{9x^{2}}{y}\cdot\dfrac{4y}{3x^{3}}=\dfrac{12}{x}$

Work Step by Step

$\dfrac{9x^{2}}{y}\cdot\dfrac{4y}{3x^{3}}$ Multiply both rational expression and simplify by removing repeated factors in the numerator and the denominator: $\dfrac{9x^{2}}{y}\cdot\dfrac{4y}{3x^{3}}=\dfrac{(9x^{2})(4y)}{(y)(3x^{3})}=\dfrac{36x^{2}y}{3x^{3}y}=\dfrac{12}{x}$
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