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: 37

Answer

$50y^2(2y^3-y+2)$

Work Step by Step

Factoring the $GCF= 50y^2 ,$ the given expression, $ 100y^5-50y^3+100y^2 ,$ is equivalent to \begin{array}{l}\require{cancel} 50y^2 \left( \dfrac{100y^5}{50y^2}-\dfrac{50y^3}{50y^2}+\dfrac{100y^2}{50y^2} \right) \\\\= 50y^2(2y^3-y+2) .\end{array}
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