(1+1/2007+1/2008)*(1/2007+1/2008+1/2009)-(1+1/2007+1/2008+1/

来源：学生作业帮编辑：作业帮分类：数学作业时间：2024/05/15 10:54:25

(1+1/2007+1/2008)*(1/2007+1/2008+1/2009)-(1+1/2007+1/2008+1/2009)*(1/2007+1/2008)详解

先提取公因子：(1/2007+1/2008+1/2009)
即：(1/2007+1/2008+1/2009) * (1+1/2007+1/2008- 1/2007-1/2008)
=(1/2007+1/2008+1/2009) * 1
=1/2007+1/2008+1/2009

化简：|1/2010-1/2009|+|1/2009-1/2008|+|1/2008-1/2007|-|1/2007-1 (1+1/2007+1/2008)*(1/2007+1/2008+1/2009)-(1+1/2007+1/2008+1/ 2008+2009*2007/2008*2009-1 2008×2009-1分之2008+2009×2007 |1/2009-1/2008|+|1/2008-1/2007|+|1/2007-1/2006|-|1/2006-1/20 1/2009-1/2008|+|1/2008-1/2007|+|1/2007-1/2006|+.+|1/3-1/2|+| |2009/1-2008/1|+|2008/1-2007/1|+|2007/1-2006/1|+.+|3/1-2/1|+ 2009又1/2007*2007/2008 计算:|1/2009-1/2008|+|1/2008-1/2007|-|1/2009-1/2007| 简算:（2009+1/2007）*1/2008 2010*2009-2009*2008+2008*2007-2007*2006.+2*1 2007/2008+9×2007/2008+99×2007/2008+1/502