# Another form of cubic folium equation

## Main Question or Discussion Point

Hello,

I am looking for a way to express the equation of folium

x3 + y3 = 3axy

into

x + y =$\frac{3a}{\frac{x}{y}+\frac{y}{x}-1}$

thanks

bluemoon2188

$$x^3+y^3=(x+y)(x^2-xy+y^2)=(x+y)\left(\frac{x}{y}+\frac{y}{x}-1\right)xy$$