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: 10
$\begin{array}{l} (ax + b)^{2} = a^{2}x^{2} + 2\cdot a\cdot b \cdot x + b^{2} \\ (a + b)^{2} \\ \textbf{Gegeben:} \\ (3x + 1\frac{2}{3})^{2}\\ \\ \textbf{Rechnung:} \\\text{1. Binomische Formel}
\\(3x+1\frac{2}{3})^{2}=3^{2}x^{2}+2\cdot 3\cdot 1\frac{2}{3}\cdot x+\left(1\frac{2}{3}\right)^{2}
\\(3x+1\frac{2}{3})^{2}=9x^2+10x+2\frac{7}{9}
\end{array}$