a) \(\frac{2013.2014-14}{\left(-2012\right).\left(-2014\right)+2000}\)
\(=\frac{\left(2012+1\right).2014-14}{2012.2014+2000}\)
\(=\frac{2012.2014+2014-14}{2012.2014+2000}\)
\(=\frac{2012.2014+2000}{2012.2014+2000}\)
\(=1\)
=2013.2014-14/2012.2014+2000
=2013.2014-14/2012.2014+2014-14
=2013.2014-14/2014.(2012+1)-14
=2013.2014-14/2014.2013-14
=1