breyRodnTiaiuli breyRodnTiaiuli

25-05-2016
Mathematics

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

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nobillionaireNobley nobillionaireNobley

06-06-2016

[tex]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)[/tex]

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