Elementary Algebra

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

Chapter 6 - Factoring, Solving Equations, and Problem Solving - 6.2 - Factoring the Difference of Two Squares - Problem Set 6.2: 30

Answer

$(4+x^2)(2+x)(2-x)$

Work Step by Step

Using $a^2-b^2=(a+b)(a-b)$, the factored form of the given expression, $ 16-x^4 ,$ is \begin{array}{l}\require{cancel} (4+x^2)(4-x^2) .\end{array} Since the second factor is still a difference of $2$ squares, using the same factoring technique, the completely factored form of the expression above is \begin{array}{l}\require{cancel} (4+x^2)(2+x)(2-x) .\end{array}
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