作业帮（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：2024/07/20 21:29:15
x){PPB@({:@X P.N5Z5ma; N/ xn 6I
m+
x`a]Y *5!ԮԭЭru#m @ ,
（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