If x + y + z = 0, then what is the value of x/((yz)^2)+y/((xz)^2)+z/(…

x + y + z = 0

$\frac{x}{(yz)^2}+\frac{y}{(xz)^2}+\frac{z}{(xy)^2}$

If x + y + z = 0 then

a³ + b³ + c³ = 3abc

$\frac{x}{(yz)^2}+\frac{y}{(xz)^2}+\frac{z}{(xy)^2}$ = \(\frac{x^3 + y^3 + z^3}{(xyz)^2}\)

$\frac{x}{(yz)^2}+\frac{y}{(xz)^2}+\frac{z}{(xy)^2}$ = \(\frac{3xyz}{(xyz)^2}\) 

$\frac{x}{(yz)^2}+\frac{y}{(xz)^2}+\frac{z}{(xy)^2}$ = $\frac{3}{xyz}$