2006x2008×(1/2006x2007+1/2007x2008)=?

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2006x2008×(1/2006x2007+1/2007x2008)=?2006x2008×(1/2006x2007+1/2007x2008)=?2006x2008×(1/2006x2007+1/2

2006x2008×(1/2006x2007+1/2007x2008)=?
2006x2008×(1/2006x2007+1/2007x2008)=?

2006x2008×(1/2006x2007+1/2007x2008)=?
2006x2008×(1/2006x2007+1/2007x2008)
=2006x2008×(1/2006-1/2007+1/2007-1/2008)
=2006x2008×(1/2006-1/2008)
=2006x2008×1/2006-2006x2008x1/2008
=2008-2006
=2

由乘法分配律得2008/2007+2006/2007=4014/2007=2.
注意约分,通分。