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: 48

Answer

4$a^{3}$b - 6$a^{2}$ + 8a

Work Step by Step

$\frac{-24a^{4}b^{2} + 36a^{3}b - 48a^{2}b}{-6ab}$ = RECALL: $\frac{b^{n}}{b^{m}}$ = $b^{n-m}$ So, $\frac{-24a^{4}b^{2} + 36a^{3}b - 48a^{2}b}{-6ab}$ = $\frac{-24a^{4}b^{2}}{-6ab}$ + $\frac{36a^{3}b}{-6ab}$ + $\frac{-48a^{2}b}{-6ab}$ = $\frac{-24}{-6}$$a^{4-1}$$b^{2-1}$ + $\frac{36}{-6}$$a^{3-1}$$b^{1-1}$ + $\frac{-48}{-6}$$a^{2-1}$$b^{1-1}$ = 4$a^{3}$b - 6$a^{2}$ + 8a
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