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: 50

Answer

- 14$y^{3}$ + 9x$y^{2}$ + 1

Work Step by Step

$\frac{-9x^{2}y^{3} - xy + 14xy^{4}}{-xy}$ = RECALL: $\frac{b^{n}}{b^{m}}$ = $b^{n-m}$ So, $\frac{-9x^{2}y^{3} - xy + 14xy^{4}}{-xy}$ = $\frac{-9x^{2}y^{3}}{-xy}$ + $\frac{-xy}{-xy}$ + $\frac{14xy^{4}}{-xy}$ = 9$x^{2-1}$$y^{3-1}$ + $x^{1-1}$$y^{1-1}$ - 14$x^{1-1}$$y^{4-1}$ = 9x$y^{2}$ + 1 - 14$y^{3}$ = - 14$y^{3}$ + 9x$y^{2}$ + 1
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