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 - Page 76: 88


$= \frac{9y^{2}+8x^{2}}{x^{2}y^{2}}$

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 $y^{2}/y^{2}$ and the second fraction by $x^{2}/x^{2}$ to obtain a common denominator of $x^{2}y^{2}$ 2) Add the fractions: $= \frac{9}{x^{2}} + \frac{8}{y^{2}}$ $= \frac{9y^{2}}{x^{2}y^{2}} + \frac{8x^{2}}{x^{2}y^{2}}$ $= \frac{9y^{2}+8x^{2}}{x^{2}y^{2}}$
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