Elementary Algebra

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

Chapter 2 - Real Numbers - 2.4 - Exponents - Problem Set 2.4: 82

Answer

$= \frac{9x^{2}-11}{x^{3}}$

Work Step by Step

1) Multiply a fraction with the other denominator to obtain a common denominator between the two fractions. In this case, we only need to multiply the first fraction by $x^{2}/x^{2}$ to get the common denominator of $x^{3}$ 2) Subtract $= \frac{9}{x} - \frac{11}{x^{3}}$ $ = \frac{9x^{2}}{x^{3}} - \frac{11}{x^{3}}$ $= \frac{9x^{2}-11}{x^{3}}$
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