(x^2-y^2/x)[-x^2/(x-y)^2]

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(x^2-y^2/x)[-x^2/(x-y)^2](x^2-y^2/x)[-x^2/(x-y)^2](x^2-y^2/x)[-x^2/(x-y)^2](x^2-y^2/x)[-x^2/(x-y)^2]

(x^2-y^2/x)[-x^2/(x-y)^2]
(x^2-y^2/x)[-x^2/(x-y)^2]

(x^2-y^2/x)[-x^2/(x-y)^2]
(x^2-y^2/x)[-x^2/(x-y)^2]
=(x+y)(x-y)/x[-x²/(x-y)²]
=(x+y)(-x)/(x-y)
=-x(x+y)/(x-y)

原式=(x+y)(x-y)/x[-x^2(x-y)^2
=-x(x+y)/(x-y)