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