(x^2-2xy+y^2)-(x^2+2xy+y^2)=
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(x^2-2xy+y^2)-(x^2+2xy+y^2)=
(x^2-2xy+y^2)-(x^2+2xy+y^2)=
(x^2-2xy+y^2)-(x^2+2xy+y^2)=
(x^2-2xy+y^2)-(x^2+2xy+y^2)=(x-y)^2-(x+y)^2
=((x-y)+(x+y))((x-y)-(x+y))
=(2x)(-2y)
=-4xy
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