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: 15
$\begin{array}{l} (ax+b)^3 =a^3\cdot x^3 +3a^2x^2b +3axb^2 +b^3 \\ (ax+b)^3\\ \textbf{Gegeben:} \\ (3x+1\frac{2}{3})^{3}\\ \\ \textbf{Rechnung:} \\ \\(3x+1\frac{2}{3})^{3}=3^{3}x^{3}+3 \cdot 3^2\cdot x^2\cdot 1\frac{2}{3}+3\cdot 3\cdot x\cdot \left(1\frac{2}{3}\right)^2+\left(1\frac{2}{3}\right)^{3} \\(3x+1\frac{2}{3})^{3}=27x^3+45x^2+25x+4\frac{17}{27} \end{array}$