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: 86

Answer

$= \frac{26}{15x^{3}}$

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 multiply the first fraction by $3/3$ and the second fraction by $5/5$ to obtain a common denominator of $15x^{3}$ 2) Add the fractions $= \frac{-8}{5x^{3}} + \frac{10}{3x^{3}}$ $= \frac{-8(3)}{15x^{3}} + \frac{10(5)}{15x^{3}}$ $= \frac{-24+50}{15x^{3}}$ $= \frac{26}{15x^{3}}$
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