TeX Quellcode:

\begin{array}{rcl} f(x) &=& 3x^2 -4x - \dfrac{14}{3} \cr\cr &=& 3 \left(x^2 - \dfrac{4}{3} x- \dfrac{14}{9} \right) \cr\cr &=& 3 \left(x^2 - 2 \cdot \dfrac{2}{3}x + \left(\dfrac{2}{3} \right)^2 - \left(\dfrac{2}{3} \right)^2 - \dfrac{14}{9} \right) \cr\cr &=& 3 \left(x^2-2\cdot \dfrac{2}{3}x+ \left(\dfrac{2}{3} \right)^2 -2 \right) \cr\cr &=& 3 \left(x-\dfrac{2}{3} \right)^2 -6 \cr\cr &=& 3 \left(\left(x-\dfrac{2}{3} \right)^2 -2\right) \end{array}