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: 17

Answer

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

Work Step by Step

We first factor the denominator and numerator of the fraction: Step 1: $\frac{x^{2}+2x}{x^{2}-7x}$ Step 2: $\frac{x(x+2)}{x(x-7)}$ Finally, we cancel out the common factor of x to obtain: Step 3: $\frac{(x+2)}{(x-7)}$
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