(1+1/2002+1/2004+1/2006)*(1/2002+1/2004+1/2006+1/2008)-(1+1/2002+1/2004+1/2006+1/2008)*(1/2002+1/2004+1/2006)

来源:学生作业学帮网 编辑:学帮网 时间:2024/05/31 05:25:46

(1+1/2002+1/2004+1/2006)*(1/2002+1/2004+1/2006+1/2008)-(1+1/2002+1/2004+1/2006+1/2008)*
(1/2002+1/2004+1/2006)

设1/2002+1/2004+1/2006=x
1/2002+1/2004+1/2006+1/2008=y
(1+1/2002+1/2004+1/2006)*(1/2002+1/2004+1/2006+1/2008)-(1+1/2002+1/2004+1/2006+1/2008)* (1/2002+1/2004+1/2006)
=(1+x)y-(1+y)x
=y+xy-x-xy
=y-x
=1/2008