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x²+2y²-3y-4xy - 2x²-3xy-y² = -x²-7xy+y²-3y
= 2x^2 + 3 xy + y^2 - (x^2 - 4xy - 3y + 2 y^2)
= 2x^2 + 3 xy + y^2 - x^2 + 4 xy + 3y - 2 y^2
= x^2 + 7 xy + 3y - y^2