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: 77

Answer

$36x^8-36x^5+9x^2$

Work Step by Step

Using $(a+b)^2=a^2+2ab+b^2$ or the square of a binomial, the given expression, $ \left( 6x^4-3x \right)^2 $, is equivalent to \begin{array}{l}\require{cancel} (6x^4)^2+2(6x^4)(-3x)+(-3x)^2 \\\\= 36x^8-36x^5+9x^2 .\end{array}
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