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{1. 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} $