Answer
$2x^{2}(x^{2}+3xy+y^{2})$
Work Step by Step
$ 2x^{4}+6x^{3}y+2x^{2}y^{2}\qquad$...factor out the common term, $2x^{2}$
$=2x^{2}(x^{2}+3xy+y^{2})$
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