X+Y分之X+X+Y分之2Y)乘X+2Y分之XY除以(X分之1+Y分之1)得?

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X+Y分之X+X+Y分之2Y)乘X+2Y分之XY除以(X分之1+Y分之1)得?

X+Y分之X+X+Y分之2Y)乘X+2Y分之XY除以(X分之1+Y分之1)得?
X+Y分之X+X+Y分之2Y)乘X+2Y分之XY除以(X分之1+Y分之1)得?

X+Y分之X+X+Y分之2Y)乘X+2Y分之XY除以(X分之1+Y分之1)得?
[x/(x+y)+2y/(x+y)]*xy/(x+2y)÷(1/x+1/y)
=[(x+2y)/(x+y)]*xy/(x+2y)÷(1/x+1/y)
=(x+2y)/(x+y)*xy/(x+2y)÷(1/x+1/y)
=xy/(x+y)÷[(y/(xy)+x/(xy)]
=xy/(x+y)÷[(x+y)/(xy)]
=xy/(x+y)*xy/(x+y)
=1