\(\frac{2007x2010-1007}{2008x2009-1009}\)
\(=\frac{2007x2009+\left(2007-1007\right)}{2007x2009+\left(2009-1009\right)}\)
\(=\frac{2007x2009+1000}{2007x2009+1000}\)
=1
\(\frac{2007x2010-1007}{2008x2009-1009}\)
=\(\frac{2007x2009-\left(2007-1007\right)}{2007x2009-\left(2009-1009\right)}\)
= \(\frac{2007x2009-1000}{2007x2009-1000}\)
= 1