Beispiel Nr: 17
$(ax - b)^{2} = a^{2}x^{2} - 2\cdot a\cdot b \cdot x+ b^{2} \\ (a - b)^{2}\\ \textbf{Gegeben:} \\ (\frac{2}{5}x - \frac{1}{3})^{2}\\ \\ \textbf{Rechnung:} \\\text{2. Binomische Formel} \\(\frac{2}{5}x-\frac{1}{3})^{2}=\left(\frac{2}{5}\right)^{2}x^{2}-2\cdot\frac{2}{5}\cdot\frac{1}{3}\cdot x+\left(\frac{1}{3}\right)^{2} \\(\frac{2}{5}x-\frac{1}{3})^{2}=\frac{4}{25}x^2-\frac{4}{15}x+\frac{1}{9} $