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 5 - Polynomials and Factoring - 5.4 Factoring Perfect-Square Trinomials and Differences of Squares - 5.4 Exercise Set - Page 334: 117



Work Step by Step

Simplifying and then subtracting the two sides of the expression, we find: $$x^2\left(x+1\right)^2-\left(x^2+1\right)^2 \\ x^4+2x^3+x^2-\left(x^4+2x^2+1\right) \\ x^4+2x^3+x^2-x^4-2x^2-1 \\ =2x^3-x^2-1$$
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