Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 5 - Section 5.5 - Factoring Special Forms - Exercise Set - Page 374: 143

Answer

$2x(x+2)^2$

Work Step by Step

The square of a binomial sum is: $(A+B)^2=A^2+2AB+B^2$. Hence here: $2x^3+8x^2+8x=2x(x^2+4x+4)=2x(x^2+2\cdot x\cdot2+1^2)=2x(x+2)^2$
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