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-2x^2+2xy-(y^2-6xy+9x^2)+[-(x-y)(x+y)]-xy=
-2x^2+2xy-y^2+6xy-9x^2+[-(x^2-y^2)]-xy=
-11x^2+8xy-y^2+(-x^2+y^2)-xy=
-11x^2+8xy-y^2-x^2+y^2-xy=-12x^2+7xy