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 - 4.6 Special Products - 4.6 Exercise Set: 81

Answer

$\dfrac{1}{25}-36x^8$

Work Step by Step

Using $(a+b)(a-b)=a^2-b^2$ or the product of the sum and difference of like terms, the given expression, $ \left( \dfrac{1}{5}-6x^4 \right)\left( \dfrac{1}{5}+6x^4 \right) $, is equivalent to \begin{array}{l}\require{cancel} \left( \dfrac{1}{5} \right)^2-(6x^4)^2 \\\\= \dfrac{1}{25}-36x^8 .\end{array}
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