-1/2(4xy-8x^2y^2)+1/3(xy-6x^2y^2)

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-1/2(4xy-8x^2y^2)+1/3(xy-6x^2y^2)-1/2(4xy-8x^2y^2)+1/3(xy-6x^2y^2)-1/2(4xy-8x^2y^2)+1/3(xy-6x^2y^2)-

-1/2(4xy-8x^2y^2)+1/3(xy-6x^2y^2)
-1/2(4xy-8x^2y^2)+1/3(xy-6x^2y^2)

-1/2(4xy-8x^2y^2)+1/3(xy-6x^2y^2)
-1/2(4xy-8x^2y^2)+1/3(xy-6x^2y^2)
=-2xy+4x²y²+1/3xy-2x²y²
=(1/3-2)xy+(4-2)x²y²
=-5/3xy+2x²y²

-1/2(4xy-8x^2y^2)+1/3(xy-6x^2y^2)
=-2xy+4x^2y^2+1/3xy-2x^2y^2
=-5/3xy+2x^2y^2