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arătați ab+bc+ca=11x(a+b+c), unde ab bc ca sunt numere in baza 10​

Răspuns :

 

[tex]\displaystyle\bf\\\overline{ab}+\overline{bc}+\overline{ca}=\\\\=10a+b+10b+c+10c+a=\\\\=10a+a+10b+b+c+10c+c=\\\\=11a+11b+11c=\\\\\boxed{\bf 11\times (a+b+c)}[/tex]