\(=\dfrac{2011}{2012}\cdot\left(3-3-\dfrac{2011}{2012}\right)-\dfrac{1}{2012}\cdot\dfrac{2011}{2012}\)
\(=\dfrac{2011}{2012}\cdot\left(-\dfrac{2011}{2012}\right)-\dfrac{1}{2012}\cdot\dfrac{2011}{2012}\)
\(=\dfrac{2011}{2012}\cdot\left(\dfrac{-2011}{2012}-\dfrac{1}{2012}\right)\)
\(=\dfrac{2011}{2012}\cdot\left(-1\right)\)
\(=-\dfrac{2011}{2012}\)