Answer
$(x^{2}+2)(x^{2}+6)$
Work Step by Step
$x^{4}+8x^{2}+12=$
$x^{4}+2x^{2}+6x^{2}+12=$
$x^{2}(x^{2}+2)+6(x^{2}+2)=$
$(x^{2}+2)(x^{2}+6)$
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