Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 6 - Section 6.4 - Division of Polynomials - Exercise Set - Page 444: 11


$6x-\displaystyle \frac{3}{y}-\frac{2}{xy^{2}}$

Work Step by Step

Using the property: $\displaystyle \quad\frac{A+B}{C}=\frac{A}{C}+\frac{B}{C},$ $\displaystyle \frac{36x^{4}y-18x^{3}y^{2}-12x^{2}y}{6x^{3}y^{3}}=\frac{36x^{4}y^{3}}{6x^{3}y^{3}}-\frac{18x^{3}y^{2}}{6x^{3}y^{3}}-\frac{12x^{2}y}{6x^{3}y^{3}}$ = $6x-\displaystyle \frac{3}{y}-\frac{2}{xy^{2}}$
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