Question

si F(t)=t/(1+t) y G(t)=t/(1-t),demuestre que F(t)-G(t)=-2G(t^2)

Answer 1

[t/1+t -t/1-t =t(1-t)-t(1+t)]/1-t^2 =(t-t^2- t-t^2)1-t^2
-2t^2/1-t^2 =-2G(t^2)
                  -2(t^2/1-t^2
                  -2t^2/1-t^2