Răspuns:
Explicație pas cu pas:
abc+acb+bac+bca+CAB+cba=
100a+10b+c+100a+10c+b+100b+10a+c+100b+10c+a+100c+10b+a+100c+10b+a=
200a+200b+200c+20a+20b+20c+2a+2b+2c=
200(a+b+c)+20(a+b+c)+2(a+b+c)=
(a+b+c)(200+20+2)=
222(a+b+c)=2*111(a+b+c)=
2*3*37(a+b+c)
2,3,37 sunt numere prime=>
pt a fi patrat perfect, ar trebui ca a+b+c)=2*3*37=222 evident imposibil
