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: 65

Answer

$49-42x^4+9x^8$

Work Step by Step

Using $(a+b)^2=a^2+2ab+b^2$ or the square of a binomial, the given expression, $ \left( 7-3x^4 \right)\left( 7-3x^4 \right) $, is equivalent to \begin{array}{l}\require{cancel} \left( 7-3x^4 \right)^2 \\\\= (7)^2+2(7)(-3x^4)+(-3x^4)^2 \\\\= 49-42x^4+9x^8 .\end{array}
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