Answer
$ 2x^{1/2}(3x-4)(x+1)$
Work Step by Step
$6x^{1/2}(x^2+x)-8x^{3/2}-8x^{1/2}=2x^{1/2}(3x^2+3x-4x-4)=2x^{1/2}(3x^2-x-4)=2x^{1/2}(3x-4)(x+1)$
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