Question

1. Factor 3x2y2 − 2xy2 − 8y2. Show your work.

Answer 1

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