Y by amatysten, Davi-8191, tenplusten, e_plus_pi, mathematicsy, Adventure10, megarnie, ImSh95, Stuart111, Mango247, Rounak_iitr, cubres
Find all functions
from the reals to the reals such that
for all real
.

![\[ \left(f(x)+f(z)\right)\left(f(y)+f(t)\right)=f(xy-zt)+f(xt+yz) \]](http://latex.artofproblemsolving.com/6/1/0/610e13a6f27341b5eed393923bb98e182537e254.png)

This post has been edited 4 times. Last edited by orl, Sep 27, 2005, 4:57 PM