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(x^4-y^4)/(x^2-2xy+y^2)÷(x^2+y^2)/(y-x)
= (x^2-y^2)(x^2+y^2)/(x^2-2xy+y^2)*(y-x)/(x^2+y^2)
= (x^2-y^2)/(x^2-2xy+y^2)*(y-x)
= (x-y)(x+y)/(x-y)^2*(y-x)
= (x+y)/(x-y)*(y-x)
= -(x+y)/(x-y)*(x-y)
= -(x+y)
=-x-y
= (x^2-y^2)(x^2+y^2)/(x^2-2xy+y^2)*(y-x)/(x^2+y^2)
= (x^2-y^2)/(x^2-2xy+y^2)*(y-x)
= (x-y)(x+y)/(x-y)^2*(y-x)
= (x+y)/(x-y)*(y-x)
= -(x+y)/(x-y)*(x-y)
= -(x+y)
=-x-y
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应该是(x^4-y^4)/(x^2-2xy+y^2)÷(x^2+y^2)/(y-x)哦？
[（x^2+y^2)(x+y)(x-y)]/(x-y)^2]*[(y-x)/(x^2+y^2)]
=-x-y
[（x^2+y^2)(x+y)(x-y)]/(x-y)^2]*[(y-x)/(x^2+y^2)]
=-x-y
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