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: 58

Answer

$= -3x^{3} - 5y^{3}$

Work Step by Step

1. Rewrite the order of the expression in order to ease simplification: $5x^{3} + 9y^{3} - 8x^{3} - 14y^{3}$ $= 5x^{3} - 8x^{3} + 9y^{3} - 14y^{3}$ 2. Use the distributive property $= x^{3}(5 - 8) + y^{3}(9 - 14)$ $= x^{3}(-3) + y^{3}(-5)$ $= -3x^{3} - 5y^{3}$
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