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: 35

Answer

$3x^2(3x^2+6+2)$

Work Step by Step

Factoring the $GCF= 3x^2 ,$ the given expression, $ 9x^4+18x^3+6x^2 ,$ is equivalent to \begin{array}{l}\require{cancel} 3x^2 \left( \dfrac{9x^4}{3x^2}+\dfrac{18x^3}{3x^2}+\dfrac{6x^2}{3x^2} \right) \\\\= 3x^2(3x^2+6+2) .\end{array}
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