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feyamirinapaxtag
@feyamirinapaxtag
July 2022
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Какой из ответов делиться на 2002?
А) 2001^3+2003^3
Б) 2003^3-2001^3
В) 1002^3-1000^3
Г) 2001^3-2003^3
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fytyrama345
1)2001³+2003³=(2001+2003)(2000²-2000×2003+2003)=4004(2000²-2000×2003+2003²)
2)2003³-2001³=(2003-2001)(2003²+2003×2001+2001²)=2(2003²+2003×2001+2001²)
3)1002³-1000³=(1002-1000)(1002²+1002×1000+1000²)=2(1002²+1002000+1000000)=2(1002²+2002000)
4)2001³-2003³=(2001-2003)(2001²+2001×2003+2003²)=-2(2001²+2001×2003+2003²)
Ответ:А
2 votes
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Answers & Comments
2)2003³-2001³=(2003-2001)(2003²+2003×2001+2001²)=2(2003²+2003×2001+2001²)
3)1002³-1000³=(1002-1000)(1002²+1002×1000+1000²)=2(1002²+1002000+1000000)=2(1002²+2002000)
4)2001³-2003³=(2001-2003)(2001²+2001×2003+2003²)=-2(2001²+2001×2003+2003²)
Ответ:А