Algebra-Terme-Umformung von Termen

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Beispiel Nr: 14
$\begin{array}{l} \text{Terme - Additon - Subtraktion - Mulitiplikation - Division}\\ \displaystyle \frac{-\frac{1}{3}x^2+\frac{2}{5}x+\frac{1}{8}}{-\frac{1}{2}} \ \small \begin{matrix} (-\frac{1}{3}x^2&+\frac{2}{5}x&+\frac{1}{8}&):(-\frac{1}{2} )= \frac{2}{3}x^2 -\frac{4}{5}x -\frac{1}{4} \\ \,-(-\frac{1}{3}x^2) \\ \hline & \frac{2}{5}x&+\frac{1}{8}&\\ &-( \frac{2}{5}x) \\ \hline && \frac{1}{8}&\\ &&-( \frac{1}{8}) \\ \hline &&&0\\ \end{matrix} \\ \normalsize \\ \\ \displaystyle \frac{-\frac{1}{3}x^2+\frac{2}{5}x+\frac{1}{8}}{-\frac{1}{2}}= \frac{2}{3}x^2-\frac{4}{5}x-\frac{1}{4} \end{array}$