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 - Review Exercises - Page 497: 36

Answer

$6x^3y+2xy-10x$.

Work Step by Step

The given expression is $=(36x^4y^3+12x^2y^3-60x^2y^2)\div (6xy^2)$ Rewrite in vertical format. $=\frac{36x^4y^3+12x^2y^3-60x^2y^2}{6xy^2}$ Divide each term of the polynomial by the monomial. $=\frac{36x^4y^3}{6xy^2}+\frac{12x^2y^3}{6xy^2}-\frac{60x^2y^2}{6xy^2}$ Simplify (Cancel common terms). $=6x^3y+2xy-10x$.
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