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: 41

Answer

-3bc + 13$b^{2}$$c^{4}$

Work Step by Step

$\frac{12a^{2}b^{2}c^{2} - 52a^{2}b^{3}c^{5}}{-4a^{2}bc}$ = RECALL: $\frac{b^{n}}{b^{m}}$ = $b^{n-m}$ So, $\frac{12a^{2}b^{2}c^{2} - 52a^{2}b^{3}c^{5}}{-4a^{2}bc}$ = $\frac{12a^{2}b^{2}c^{2}}{-4a^{2}bc}$ - $\frac{52a^{2}b^{3}c^{5}}{-4a^{2}bc}$ = $\frac{12}{-4}$$a^{2-2}$$b^{2-1}$$c^{2-1}$ - $\frac{52}{-4}$$a^{2-2}$$b^{3-1}$$c^{5-1}$ = -3bc + 13$b^{2}$$c^{4}$
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