（x^2-y^2/xy）^2÷(x+y)^2×（x/x-y）^3
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[（x^2-y^2)/xy]^2÷(x+y)^2×（x/x-y）^3
=[（x-y)(x+y)/xy]^2÷(x+y)^2×[x/(x-y)]^3
=(x-y)^2(x+y)^2/(xy)^2÷(x+y)^2×[x/(x-y)]^3
=(x-y)^2(x+y)^2/(xy)^2*1/(x+y)^2×[x/(x-y)]^3
=(x-y)^2/(xy)^2*[x/(x-y)]^3
=(x-y)^2/(xy)^2*x^3/(x-y)^3
=1/(xy)^2*x^3/(x-y)
=1/y^2*x/(x-y)
=x/[y^2(x-y)]
=x/(xy^2-y^3)
=[（x-y)(x+y)/xy]^2÷(x+y)^2×[x/(x-y)]^3
=(x-y)^2(x+y)^2/(xy)^2÷(x+y)^2×[x/(x-y)]^3
=(x-y)^2(x+y)^2/(xy)^2*1/(x+y)^2×[x/(x-y)]^3
=(x-y)^2/(xy)^2*[x/(x-y)]^3
=(x-y)^2/(xy)^2*x^3/(x-y)^3
=1/(xy)^2*x^3/(x-y)
=1/y^2*x/(x-y)
=x/[y^2(x-y)]
=x/(xy^2-y^3)
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