Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 7 - Algebraic Fractions - 7.1 - Simplifying Algebraic Fractions - Problem Set 7.1: 30

Answer

$\frac{3(x+7y)}{4x(2x-y)}$

Work Step by Step

We factor the expressions in both the numerator and denominator in order to cancel out common factors in the numerator and the denominator: $\frac{6x^{2}+42xy}{16x^{3}-8x^{2}y}$ =$\frac{2x(3x+21y)}{2x(8x^{2}-4xy)}$ =$\frac{(3x+21y)}{(8x^{2}-4xy)}$ =$\frac{3(x+7y)}{4x(2x-y)}$
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