作业帮若f(x+y,y/x)=x^2-y^2,则F(X,Y)=
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若f(x+y,y/x)=x^2-y^2,则F(X,Y)=
若f(x+y,y/x)=x^2-y^2,则F(X,Y)=
若f(x+y,y/x)=x^2-y^2,则F(X,Y)=
令X=x+y,Y=y/x,解得x=X/(1+Y),y=XY/(1+Y)
F(X,Y)=(x+y)(x-y)=X*(X(1-Y)/(1+Y))
设x+y=X,y/x=Y,
则x=X/(1+Y),y=XY/(1+Y),
∴f(X,Y)=[X/(1+Y)]^2-[XY/(1+Y)]^2
=X^2(1-Y^2)/(1+Y)^2
=X^2(1-Y)/(1+Y).
∵X=x+y,Y=y/x ∴x=X/(1+Y) y=XY/(1+Y)
∴F（X，Y）=X^2/(1+Y）^2-X^2Y^2/(1+Y)^2
=(X^2-X^2Y^2)/(1+Y)^2
=X^2(1+Y)(1-Y)/(1+Y)^2
= X^2(1-Y)/(1+Y)
若f(x+y,y/x)=x^2-y^2,则F(X,Y)=
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