Intermediate Algebra for College Students (7th Edition)

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

Chapter 5 - Section 5.2 - Multiplication of Polynomials - Exercise Set - Page 337: 33

Answer

$x^3y^3+8$.

Work Step by Step

The given expression is $=(xy+2)(x^2y^2-2xy+4)$ Multiply the right side bracket by each term of the left side bracket. $=xy(x^2y^2-2xy+4)+2(x^2y^2-2xy+4)$ Clear the parentheses. $=x^3y^3-2x^2y^2+4xy+2x^2y^2-4xy+8$ Add like terms. $=x^3y^3+8$.
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