Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 6 - Section 6.4 - Dividing Polynomials: Long Division and Synthetic Division - Exercise Set - Page 370: 5

Answer

$\dfrac{4x^2y^2+6x7^2-4y^2}{2x^2y} = 2y+\dfrac{3y}{x}-\dfrac{2y}{x^2}$

Work Step by Step

Divide the divisor to each term of the dividend to have: $\\=\dfrac{4x^2y^2}{2x^2y}+\dfrac{6xy^2}{2x^2y}-\dfrac{4y^2}{2x^2y} \\\\= 2y+\dfrac{3y}{x}-\dfrac{2y}{x^2}$
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