2010+2007×(3/1-2010/1)+3×(2007/1-2010/1)-2010×(2007/1+3/1)怎么
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2010+2007×(3/1-2010/1)+3×(2007/1-2010/1)-2010×(2007/1+3/1)怎么简便运算?
![2010+2007×(3/1-2010/1)+3×(2007/1-2010/1)-2010×(2007/1+3/1)怎么](/uploads/image/z/17979566-14-6.jpg?t=2010%EF%BC%8B2007%C3%97%EF%BC%883%2F1%EF%BC%8D2010%2F1%EF%BC%89%EF%BC%8B3%C3%97%EF%BC%882007%2F1%EF%BC%8D2010%2F1%EF%BC%89%EF%BC%8D2010%C3%97%EF%BC%882007%2F1%EF%BC%8B3%2F1%EF%BC%89%E6%80%8E%E4%B9%88)
2010 + 2007×(1/3 - 1/2010) + 3×(1/2007 - 1/2010) - 2010×(1/2007 + 1/3)
= 2010 + 2007/3 - 2007/2010 + 3/2007 - 3/2010 - 2010/2007 - 2010/3
= 2010 + (2007/3 - 2010/3) - (2007/2010 + 3/2010) + (3/2007 - 2010/2007)
= 2010 + (-3/3) - (2010/2010) + (-2007/2007)
= 2010 - 1 + 1 - 1
= 2009
= 2010 + 2007/3 - 2007/2010 + 3/2007 - 3/2010 - 2010/2007 - 2010/3
= 2010 + (2007/3 - 2010/3) - (2007/2010 + 3/2010) + (3/2007 - 2010/2007)
= 2010 + (-3/3) - (2010/2010) + (-2007/2007)
= 2010 - 1 + 1 - 1
= 2009
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