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: 39

Answer

$5x(2-4x+1)$

Work Step by Step

Factoring the $GCF= 5x ,$ the given expression, $ 10x-20x^2+5x^3 ,$ is equivalent to \begin{array}{l}\require{cancel} 5x \left( \dfrac{10x}{5x}-\dfrac{20x^2}{5x}+\dfrac{5x}{5x} \right) \\\\= 5x(2-4x+1) .\end{array}
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