已知x:y=2:3,求(x^2-y^2/xy)÷[(x+y)×(x-y/x)^3]÷(x/y^2)
问题描述：
已知x:y=2:3,求(x^2-y^2/xy)÷[(x+y)×(x-y/x)^3]÷(x/y^2)
答
y=3x/2
=(x+y)(x-y)/xy*[x^3/(x+y)(x-y)^3]*(y^2/x)
=xy/(x-y)^2
=(3x^2/2)/(-x/2)^2
=(3/2)/(1/4)
=6