2001 Divided by 2001 and 2001 in 2002+1 in 2003

2001 Divided by 2001 and 2001 in 2002+1 in 2003

2001 Divided by 2001 and 2001 in 2002+1 in 2003…… Write a band fraction as a false fraction
=2001×[2002/(2001×2002+2001)+1/2003…… Dividing by a number is equal to multiplying the reciprocal of the number
=2001×2002/(2001×2003)+1/2003
=2002/2003+1/2003
=1

2005*1997+2004*1998+2003*1999+2002*2000+2001*2001

(2001+4)*(2001-4)+(2001+3)*(2001-3)+(2001+2)*(2001-2)+(2001+1)*(2001-1)+2001*2001
=5*2001^2-16-9-4-1
=5*2001^2-30
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