Answer
$3x^{2}(x^{2}-3xy+y^{2})$
Work Step by Step
$ 3x^{4}-9x^{3}y+3x^{2}y^{2}\qquad$...factor out the common term, $3x^{2}$
$=3x^{2}(x^{2}-3xy+y^{2})$
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