Answer
$3x(2a-b)^{2}$
Work Step by Step
$12a^{2}x-12abx+3b^{2}x$
=$12a^{2}x-6abx-6abx+3b^{2}x$
=$6ax(2a-b)-3bx(2a-b)$
=$(2a-b)(6ax-3bx)$
=$(6ax-3bx)\times(2a-b)$
=$3x(2a-b)\times(2a-b)$
=$3x(2a-b)(2a-b)$
=$3x(2a-b)^{2}$
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