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Factor 3x^2y^2 − 2xy^2 − 8y^2. Show your work.

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3 x^(2) y^(2) -2x y^(2) -8 y^(2) \\ = 3 x^(2) y^(2) -6x y^(2)+4x y^(2) -8 y^(2) \\ =(3 x^(2) y^(2) -6x y^(2))+(4x y^(2) -8 y^(2)) \\ =3xy^(2) (x-2)+4 y^(2)(x-2) \\ =(3xy^(2)+4 y^(2))(x-2) \\ = y^(2) (3x+4)(x-2)
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