Answer
$7y^{2}(y+1)^{2}$
Work Step by Step
$ 7y^{4}+14y^{3}+7y^{2}\qquad$...factor out the GCF, $7y^{2}$.
$=7y^{2}(y^{2}+2y+1)\qquad$...recognize a perfect square trinomial.
$(A\pm B)^{2}=A^{2}\pm 2AB+B^{2}$; $A=y,\ B=1$
$=7y^{2}(y+1)^{2}$
Introductory Algebra for College Students (7th Edition)
by Blitzer, Robert F.
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: 35
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