A=-x^2-4xy+1/2y^2,B=-2X^2+5xy-3/2y^2

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A=-x^2-4xy+1/2y^2,B=-2X^2+5xy-3/2y^2

A+B=-x²-4xy+1/2y²-2x²+5xy-3/2y²=-3x²+xy-y²

A-B=-x^2-4xy+1/2y^2-(-2X^2+5xy-3/2y^2)
=-x^2-4xy+1/2y^2+2X^2-5xy+3/2y^2
=(-x^2+2X^2)-4xy-5xy+(1/2y^2+3/2y^2)
=x^2-9xy+2y^2