A=\(\frac{2009.2010-2}{2008+2008.2010}=\frac{\left(2008+1\right).2010-2}{2008+2008.2010}\)
\(=\frac{2008.2010+2010-2}{2008+2008.2010}\)
\(=\frac{2008.2010+2008}{2008+2008.2010}=1\)
B=\(\frac{-2009.20102010}{20092009.2010}=\frac{-2009.2010.10001}{2009.10001.2010}=-1\)
Vậy A+|B= 1+(-1)=0