1996x2011-1000=4012956
996+2010x1996=4012956
\(\frac{1996x2011-1000}{996+2010x1996}\)
\(=\frac{\left(1996x2010+1996x1\right)-1000}{996+2010x1996}\)
\(=\frac{\left(1996x2010+1996\right)-1000}{996+2010x1996}\)
\(=\frac{1996x2010+1996-1000}{996+2010x1996}\)
\(=\frac{1996x2010+\left(1996-1000\right)}{996+2010x1996}\)
\(=\frac{1996x2010+996}{996+2010x1996}\)
\(=\frac{1996x2010+996}{2010x1996+996}\)
\(=\frac{1}{1}=1\)