Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 5 - Section 5.5 - Dividing Polynomials - Exercise Set - Page 386: 46

Answer

$20x^7y^4$

Work Step by Step

Divide the monomials by cancelling out common factors of the numbers and subtracting the exponents of variables. $\frac{40x^9y^5}{2x^2y}=\frac{40}{2}x^{(9-2)}y^{(5-1)}=20x^7y^4$ Check the answer. $2x^2y(20x^7y^4)=40x^{(2+7)}y^{(1+4)}=40x^9y^5$
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