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Aratati ca nr b=(5la puterea 62 +5 la puterea 61+5 la puterea 60 )·961  este cub perfect.             Va rog ajutati-ma!

Răspuns :

(5^62+5^61+5^60)*961=
(5^60*5^2+5^60*5^1+5^60)*31^2=
5^60(5^2+5^1+1)*31^2=
5^60(25+5+1)*31^2=
5^60*31*31^2=
5^60*31^3=
(5^20*31)^3