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: 31

Answer

$x^3-4x^2y+4xy^2-y^3$.

Work Step by Step

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