x-y/x²÷x²-2xy+y²/xy*(xy-x²)

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x-y/x²÷x²-2xy+y²/xy*(xy-x²)
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x-y/x²÷x²-2xy+y²/xy*(xy-x²)
x-y/x²÷x²-2xy+y²/xy*(xy-x²)

x-y/x²÷x²-2xy+y²/xy*(xy-x²)
(x-y)/x²÷(x²-2xy+y²)/xy×(xy-x²)=(x-y)/x²÷(x+y)²/xy×x(y-x)=(x-y)²/x²×xy/(x+y)²×x(y-x)=-(x-y)³/(x+y)²

x-y/x²÷x²-2xy+y²/xy*(xy-x²)
=x-y/x²×xy*(xy-x²)/(x-y)^2
=(x-y)/x^2×x^2y(y-x)/(x-y)^2
=-y