Algebra: A Combined Approach (4th Edition)

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

Chapter 6 - Section 6.5 - Factoring by Special Products - Practice - Page 444: 11

Answer

$3*(2x-1)(2x+1)(4x^2+1)$

Work Step by Step

$48x^4-3$ $3(16x^4-1)$ $16x^4-1$ $16x^4-1=(4x^2)^2-1^2$ $16x^4-1=(4x^2-1)(4x^2+1)$ $3*(4x^2-1)(4x^2+1)$ $4x^2-1$ $4x^2-1=(2x)^2-1^2$ $4x^2-1 = (2x-1)(2x+1)$ $3*(2x-1)(2x+1)(4x^2+1)$
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