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: 44

Answer

-15$x^{2}$ + 27x$y^{3}$

Work Step by Step

$\frac{-15x^{3}y + 27x^{2}y^{4}}{xy}$ = RECALL: $\frac{b^{n}}{b^{m}}$ = $b^{n-m}$ So, $\frac{-15x^{3}y + 27x^{2}y^{4}}{xy}$ = $\frac{-15x^{3}y}{xy}$ + $\frac{27x^{2}y^{4}}{xy}$ = -15$x^{3-1}$$y^{1-1}$ + 27$x^{2-1}$$y^{4-1}$ = -15$x^{2}$ + 27x$y^{3}$
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