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

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/06 10:41:35

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

(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