计算(2+1/2003+1/2004+1/2005)*(1/2003+1/2004+1/2005+1/2006)-(2+1/2003+1/2004

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计算(2+1/2003+1/2004+1/2005)*(1/2003+1/2004+1/2005+1/2006)-(2+1/2003+1/2004
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计算(2+1/2003+1/2004+1/2005)*(1/2003+1/2004+1/2005+1/2006)-(2+1/2003+1/2004
计算(2+1/2003+1/2004+1/2005)*(1/2003+1/2004+1/2005+1/2006)-(2+1/2003+1/2004

计算(2+1/2003+1/2004+1/2005)*(1/2003+1/2004+1/2005+1/2006)-(2+1/2003+1/2004
令a=1/2003,b=1/2004,c=1/2005,d=1/2006,原式变为
(2+a+b+c)*(a+b+c+d)-(2+a+b+c+d)*(a+b+c)展开基本都抵消了
等于2d=2*1/2006=1/1003

请把问题写完整

(2+1/2003+1/2004+1/2005)(1/2003+1/2004+1/2005+1/2006)-(2+1/2003+1/2004+1/2005+1/2006)(1/2003+1/2004+1/2005)

计算(2+1/2003+1/2004+1/2005)*(1/2003+1/2004+1/2005+1/2006)-(2+1/2003+1/2004+1/2005+1/2006)*(1/2003+1/2004+1/2005)=