Question

aratati ca numarul a=17+17x2+17x+...+17x17 este patrat perfect

Answer 1

[tex]Dam~factor~comun~pe~17~si~ne ~da:=>\\ \boxed{17*(1+2+3+...+17)=17*17*18:2=17^2*3^2}\\ \boxed{=>a=17+17*2+17*3+...+17*17 ~este~patrat~perfect}.[/tex]