TeX Quellcode:
\begin{array}{rcl} \dfrac{2}{3}[21+(11+18y)(-x-3)-2x\{9xy-5x+12\}-27x] &=&\dfrac{2}{3}[21+11\cdot(-x)+11\cdot(-3)+18y\cdot(-x)+18y\cdot(-3)-2x\cdot9xy-2x\cdot(-5x)-2x\cdot12-27x] \cr\cr &=&\dfrac{2}{3}[21-11x-33-18xy-54y-18xxy+10xx-24x-27x] \cr\cr &=&\dfrac{2}{3}[-18xxy+10xx-18xy-62x-54y-12] \cr\cr &=&\dfrac{2}{3}\cdot(-18xxy)+\dfrac{2}{3}\cdot10xx+\dfrac{2}{3}\cdot(-18xy)+\dfrac{2}{3}\cdot(-62x)+\dfrac{2}{3}\cdot(-54y)+\dfrac{2}{3}\cdot(-12) \cr\cr &=&-12xxy+\dfrac{20}{3}xx-12xy-\dfrac{124}{3}x-36y-8 \end{array}