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: 83

Answer

$= \frac{(3+12x^{2})}{2x^{3}}$

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 second fraction by $2x^{2}/2x^{2}$ to obtain a common denominator of $2x^{3}$ 2) Add the fractions $ = \frac{3}{2x^{3}} + \frac{6}{x}$ $ = \frac{3}{2x^{3}} + \frac{6(2x^{2})}{2x^{3}}$ $= \frac{3+12x^{2}}{2x^{3}}$
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