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: 87

Answer

$= \frac{11b^{2}-14a^{2}}{a^{2}b^{2}}$

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 $b^{2}/b^{2}$ and the second fraction by $a^{2}/a^{2}$ to obtain a common denominator of $a^{2}b^{2}$ 2) Subtract $= \frac{11}{a^{2}} - \frac{14}{b^{2}}$ $= \frac{11b^{2}}{a^{2}b^{2}} - \frac{14a^{2}}{a^{2}b^{2}}$ $= \frac{11b^{2}-14a^{2}}{a^{2}b^{2}}$
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