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: 25

Answer

$7x^2(2x+3)$

Work Step by Step

Factoring the $GCF= 7x^2 ,$ the given expression, $ 14x^3+21x^2 ,$ is equivalent to \begin{array}{l}\require{cancel} 7x^2 \left( \dfrac{14x^3}{7x^2}+\dfrac{21x^2}{7x^2} \right) \\\\= 7x^2(2x+3) .\end{array}
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