Elementary Algebra

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

Chapter 7 - Algebraic Fractions - Chapter 7 Test - Page 323: 12



Work Step by Step

First, we find the least common multiple of the denominators of the fractions. This, upon inspection, is found to be $4x(x+6)$. Then, we use the least common multiple to create a common denominator, allowing us to subtract the fractions: $\frac{2x}{x^{2}+6x}-\frac{3}{4x}$ =$\frac{2x}{x(x+6)}-\frac{3}{4x}$ =$\frac{4(2x)-3(x+6)}{4x(x+6)}$ =$\frac{8x-3x-18}{4x(x+6)}$ =$\frac{5x-18}{4x(x+6)}$
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