Let \(x,y,z\) be positive real numbers such that \((x \cdot y) + z = (x + z) \cdot (y + z)\). What is the maximum possible value of \(xyz\)?
see correction below
I don't think this is correct
You're right. Not sure what happened.
Again using Lagrange multipliers I'm seeing the solution as
x = y = z = 1/3
xyz = 1/27
+170 
