Question

x (1-x)+x (x^2-1)=x^2 (x-1)
Докажите тождество

Answer 1

-х(х-1)+х(х-1)(х+1)=х²(х-1)
-(х-1)(х-х(х+1)=х²(х-1)
-(х-1)(х-х²-х)=х²(х-1)
-(х-1)*(-х²)=х²(х-1)
х²(х-1)=х²(х-1)