Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 4 - Polynomials - 4.7 Polynomials in Several Variables - 4.7 Exercise Set - Page 286: 102

Answer

$$x^4-b^2x^2-a^2x^2+a^2b^2$$

Work Step by Step

Multiplying the expression out, we find: $$\left(x+a\right)\left(x-b\right)\left(x-a\right)\left(x+b\right) \\ \left(x^2-bx+ax-ab\right)\left(x-a\right)\left(x+b\right) \\ \left(x^3-bx^2-a^2x+a^2b\right)\left(x+b\right) \\ x^4-b^2x^2-a^2x^2+a^2b^2$$
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