Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 6 - Section 6.1 - The Greatest Common Factor and Factoring by Grouping - Exercise Set - Page 427: 31

Answer

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

Work Step by Step

Factoring the $GCF= 4x^2 ,$ the given expression, $ 8x^2-4x^4 ,$ is equivalent to \begin{array}{l}\require{cancel} 4x^2 \left( \dfrac{8x^2}{4x^2}-\dfrac{4x^4}{4x^2} \right) \\\\= 4x^2(2-x^2) .\end{array}
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