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: 29

Answer

$\frac{x(2x-5y)}{2(x+4y)}$

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: $\frac{6x^{3}-15x^{2}y}{6x^{2}+24xy}$ =$\frac{3x(2x^{2}-5xy)}{3x(2x+8y)}$ =$\frac{(2x^{2}-5xy)}{(2x+8y)}$ =$\frac{x(2x-5y)}{2(x+4y)}$
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