Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 6 - Factoring, Solving Equations, and Problem Solving - Chapter 6 Review Problem Set: 9

Answer

$(x-1)(x+1)(x^2+1)$

Work Step by Step

The given expression can be written as $=(x^2)^2-1^2$ The binomial above is a difference of two squares. RECALL: $a^2-b^2=(a-b)(a+b)$ Factor the difference of two squares using the formula above with $a=x^2$ and $b=1$ to obtain: $=(x^2-1)(x^2+1)$ Factor the first binomial (a difference of two squares) using the formula above with $a=x$ and $b=1$ to obtain: $=(x-1)(x+1)(x^2+1)$
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