Предмет: Алгебра, автор: Deisi1606

Известно,что натуральные числа m и n таковы,что значение выражения 10m+n делится нацело на 11.Докажите,что значение выражения (10m+n)(10m+n) делится нацело на 121.

Ответы

Автор ответа: artfrom444
0
10m+n=11x
(10m+n)*(10m+n)=11x*11x=121x*x   121x*x делится на 121 (останется x квадрат)
Cледовательно,  (10m+n)*(10m+n) делится на 121.


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