Answer
$3a^{2}(4a-1)(4a+1)$
Work Step by Step
$ 48a^{4}-3a^{2}\qquad$...factor out the common term, $3a^{2}$
$=3a^{2}(16a^{2}-1)\qquad$...recognize the difference of two squares: $a^{2}-b^{2}=(a-b)(a+b)$
$=3a^{2}(4a-1)(4a+1)$
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