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To completely factor the expression (48x^2 - 96), first factor out the greatest common factor, which is 48:

[ 48(x^2 - 2). ]

Next, the expression (x^2 - 2) can be recognized as a difference of squares, which can be factored further as:

[ 48(x - \sqrt{2})(x + \sqrt{2}). ]

Thus, the completely factored form of the expression is (48(x - \sqrt{2})(x + \sqrt{2})).

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2mo ago

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