Algebra-Terme-Binomische Formel
$(a + b)^{2} $
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$ (a - b)^{2}$
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$(a + b)\cdot (a - b)$
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$(ax+b)^3$
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$(ax+b)^4$
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Beispiel Nr: 09
$\begin{array}{l} (ax+b)^3 =a^3\cdot x^3 +3a^2x^2b +3axb^2 +b^3 \\ (ax+b)^3\\ \textbf{Gegeben:} \\ (1\frac{1}{4}x+\frac{4}{5})^{3}\\ \\ \textbf{Rechnung:} \\
\\(1\frac{1}{4}x+\frac{4}{5})^{3}=\left(1\frac{1}{4}\right)^{3}x^{3}+3 \cdot \left(1\frac{1}{4}\right)^2\cdot x^2\cdot \frac{4}{5}+3\cdot 1\frac{1}{4}\cdot x\cdot \left(\frac{4}{5}\right)^2+\left(\frac{4}{5}\right)^{3}
\\(1\frac{1}{4}x+\frac{4}{5})^{3}=1\frac{61}{64}x^3+3\frac{3}{4}x^2+2\frac{2}{5}x+\frac{64}{125}
\end{array}$