Beispiel Nr: 11
$ (ax+b)^3 =a^3\cdot x^3 +3a^2x^2b +3axb^2 +b^3 \\ (ax+b)^3\\ \textbf{Gegeben:} \\ (1\frac{1}{3}x+1\frac{1}{4})^{3}\\ \\ \textbf{Rechnung:} \\ \\(1\frac{1}{3}x+1\frac{1}{4})^{3}=\left(1\frac{1}{3}\right)^{3}x^{3}+3 \cdot \left(1\frac{1}{3}\right)^2\cdot x^2\cdot 1\frac{1}{4}+3\cdot 1\frac{1}{3}\cdot x\cdot \left(1\frac{1}{4}\right)^2+\left(1\frac{1}{4}\right)^{3} \\(1\frac{1}{3}x+1\frac{1}{4})^{3}=2\frac{10}{27}x^3+6\frac{2}{3}x^2+6\frac{1}{4}x+1\frac{61}{64} $