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化简:x-y/x+3y÷x^-y^2/x^2+6xy+9y^2-(xy/x+y)

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化简:x-y/x+3y÷x^-y^2/x^2+6xy+9y^2-(xy/x+y)
化简:x-y/x+3y÷x^-y^2/x^2+6xy+9y^2-(xy/x+y)
[(x-y)/(x+3y)]/[(x^2-y^2)/(x^2+6xy+9y^2)]-xy/(x+y)
=(x-y)/(x+3y) * (x+3y)^2/(x-y)(x+y)-xy/(x+y)
=(x+3y)/(x+y)-xy/(x+y)
=(x-xy+3y)/(x+y)
=1-y(x-2)/(x+y)