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: 18

Answer

$\frac{(x-6)}{2(x+3)}$

Work Step by Step

We first factor the numerator and denominator of the fraction: Step 1: $\frac{x^{2}-6x}{2x^{2}+6x}$ Step 2: $\frac{x(x-6)}{2x(x+3)}$ Finally, we cancel out the common factor of x to obtain: Step 3: $\frac{(x-6)}{2(x+3)}$
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