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

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

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

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