Answer
$3x^{2}(x+2)(x-2)$
Work Step by Step
$ 3x^{4}-12x^{2}\quad $ ... factor out $3x^{2}$
$=3x^{2}(x^{2}-4)$
The parentheses hold a difference of squares, $ x^{2}-2^{2}$, thus:
$=3x^{2}(x+2)(x-2)$
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