（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：学生作业帮助网 编辑：作业帮 时间：2024/04/29 04:01:39
（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+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+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+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