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

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

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

(3x^-4xy-6y^)-2(x^-4xy+2y^)
3x^2-4xy-6y^2-2x^2+8xy-4y^2=x^2-4xy-10y^2

(3x^2-4xy-6y^2)-2(x^2-4xy+2y^2)
=3x^2-4xy-6y^2-2x^2+8xy-4y^2
=x^2+4xy-10y^2
=(x+6y)(x-4y)