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 6.5 - A General Factoring Strategy - Exercise Set - Page 462: 29

Answer

$2x^{2}(x+1)(x^{2}-x+1)$

Work Step by Step

$ 2x^{5}+2x^{2}\qquad$...factor out the GCF, $2x^{2}$. $=2x^{2}(x^{3}+1)\qquad$...use the sum of two cubes: $\mathrm{A}^{3}+\mathrm{B}^{3} = (\mathrm{A}+\mathrm{B})(\mathrm{A}^{2} - \mathrm{A}\mathrm{B} + B^{2})$ $=2x^{2}(x+1)(x^{2}-x+1)$
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