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: 17
$\begin{array}{l} (ax + b)^{2} = a^{2}x^{2} + 2\cdot a\cdot b \cdot x + b^{2} \\ (a + b)^{2} \\ \textbf{Gegeben:} \\ (\frac{2}{5}x + \frac{1}{3})^{2}\\ \\ \textbf{Rechnung:} \\\text{1. Binomische Formel}
\\(\frac{2}{5}x+\frac{1}{3})^{2}=\left(\frac{2}{5}\right)^{2}x^{2}+2\cdot \frac{2}{5}\cdot \frac{1}{3}\cdot x+\left(\frac{1}{3}\right)^{2}
\\(\frac{2}{5}x+\frac{1}{3})^{2}=\frac{4}{25}x^2+\frac{4}{15}x+\frac{1}{9}
\end{array}$