Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 5 - Exponents and Polynomials - 5.4 - Dividing by Monomials - Problem Set 5.4: 42

Answer

-4$a^{2}$ - 6a$b^{2}$$c^{4}$

Work Step by Step

$\frac{48a^{3}b^{2}c + 72a^{2}b^{4}c^{5}}{-12ab^{2}c}$ = RECALL: $\frac{b^{n}}{b^{m}}$ = $b^{n-m}$ So, $\frac{48a^{3}b^{2}c + 72a^{2}b^{4}c^{5}}{-12ab^{2}c}$ = $\frac{48a^{3}b^{2}c}{-12ab^{2}c}$ + $\frac{72a^{2}b^{4}c^{5}}{-12ab^{2}c}$ = $\frac{48}{-12}$$a^{3-1}$$b^{2-2}c^{1-1}$ + $\frac{72}{-12}$$a^{2-1}$$b^{4-2}$$c^{5-1}$ = -4$a^{2}$ - 6a$b^{2}$$c^{4}$
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