Beispiel Nr: 22
$(ax + b)^{2} = a^{2}x^{2} + 2\cdot a\cdot b \cdot x + b^{2} \\ (a + b)^{2} \\ \textbf{Gegeben:} \\ (5\frac{1}{3}x + 1\frac{8}{9})^{2}\\ \\ \textbf{Rechnung:} \\\text{1. Binomische Formel} \\(5\frac{1}{3}x+1\frac{8}{9})^{2}=\left(5\frac{1}{3}\right)^{2}x^{2}+2\cdot 5\frac{1}{3}\cdot 1\frac{8}{9}\cdot x+\left(1\frac{8}{9}\right)^{2} \\(5\frac{1}{3}x+1\frac{8}{9})^{2}=28\frac{4}{9}x^2+20\frac{4}{27}x+3\frac{46}{81} $