分式化简x^2-2xy+y^2分之x^3-xy^2

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分式化简x^2-2xy+y^2分之x^3-xy^2

分式化简x^2-2xy+y^2分之x^3-xy^2
分式化简x^2-2xy+y^2分之x^3-xy^2

分式化简x^2-2xy+y^2分之x^3-xy^2
x^2-2xy+y^2分之x^3-xy^2
=(x-y)^2/x(x+y)(x-y)
=(x-y)/x(x+y)

因为
x^2-2xy+y^2 =(x-y)^2
x^3-xy^2 = x(x^2-y^2) = x(x-y)(x+y)
所以
x^2-2xy+y^2分之x^3-xy^2
=(x-y)^2/x(x+y)(x-y)
=(x-y)/x(x+y)