Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter R - Review of Basic Concepts - R.4 Factoring Polynomials - R.4 Exercises - Page 44: 90

Answer

$\left( 5x-4\right) \left( 25x^{2}-10x+4\right) $

Work Step by Step

$\left( 5x-2\right) ^{3}-8=\left( 5x-2\right) ^{3}-2^{3}=\left( 5x-2-2\right) \left( \left( 5x-2\right) ^{2}+2\times \left( 5x-2\right) +2^{2}\right) =\left( 5x-4\right) \left( 25x^{2}-10x+4\right) $
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