Beispiel Nr: 09
$ (ax+b)^3 =a^3\cdot x^3 +3a^2x^2b +3axb^2 +b^3 \\ (ax+b)^3\\ \textbf{Gegeben:} \\ (1\frac{1}{4}x+\frac{4}{5})^{3}\\ \\ \textbf{Rechnung:} \\ \\(1\frac{1}{4}x+\frac{4}{5})^{3}=\left(1\frac{1}{4}\right)^{3}x^{3}+3 \cdot \left(1\frac{1}{4}\right)^2\cdot x^2\cdot \frac{4}{5}+3\cdot 1\frac{1}{4}\cdot x\cdot \left(\frac{4}{5}\right)^2+\left(\frac{4}{5}\right)^{3} \\(1\frac{1}{4}x+\frac{4}{5})^{3}=1\frac{61}{64}x^3+3\frac{3}{4}x^2+2\frac{2}{5}x+0,512 $