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abc+bca+cab=bac+acb+cba

Răspuns :

100a+10b+c+100b+10c+a+100c+10a+b=100b+10a+c+100a+10c+b+100c+10b+a
111a+111b+111c=111a+111b+111c
100a+10b+c+100b+10c+a+100c+10a+b=100b+10a+c+100a+10c+b+100c+10b+a
111a+111b+111c=111a+111b+111c
111(a+b+c)=111(a+b+c)
a+b+c=a+b+c
0=0
⇒abc cu bara deasupra ∈N*