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Vikusw
@Vikusw
April 2021
1
12
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докажите что:
а)
5^7-1 кратно 4.
б
)5^7+1,кратно 3.
заранее спасибо;)
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Света19999
Verified answer
5^7-1=(5-1)(5^6+5^5+5^4+5^3+5^2+5+1)=4(5^6+5^4+5^3+5^2+5+1) кратно 4
5^7+1=(5+1)(5^6-5^5 +5^4-5^3+5^2-5+1)=6(5^6-5^5
+5^4-5^3+5^2-5+1) 6 кратер 2=> 5^7+1 кратно 3
14 votes
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Answers & Comments
Verified answer
5^7-1=(5-1)(5^6+5^5+5^4+5^3+5^2+5+1)=4(5^6+5^4+5^3+5^2+5+1) кратно 45^7+1=(5+1)(5^6-5^5 +5^4-5^3+5^2-5+1)=6(5^6-5^5
+5^4-5^3+5^2-5+1) 6 кратер 2=> 5^7+1 кратно 3