Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 5 - Section 5.6 - Special Products - Exercise Set: 37

Answer

$25x^{8}-30x^{4}+9$

Work Step by Step

$(5x^{4}-3)^{2}$ Apply the formula for squaring a binomial, which is $(a-b)^{2}=a^{2}-2ab+b^{2}$ Here, $a=5x$ and $b=3$: $(5x^{4}-3)^{2}=(5x^{4})^{2}-2(5x^{4})(3)+3^{2}=25x^{8}-30x^{4}+9$
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