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: 24
$\begin{array}{l} (ax + b)^{2} = a^{2}x^{2} + 2\cdot a\cdot b \cdot x + b^{2} \\ (a + b)^{2} \\ \textbf{Gegeben:} \\ (5\frac{1}{3}x + \frac{1}{2})^{2}\\ \\ \textbf{Rechnung:} \\\text{1. Binomische Formel}
\\(5\frac{1}{3}x+\frac{1}{2})^{2}=\left(5\frac{1}{3}\right)^{2}x^{2}+2\cdot 5\frac{1}{3}\cdot \frac{1}{2}\cdot x+\left(\frac{1}{2}\right)^{2}
\\(5\frac{1}{3}x+\frac{1}{2})^{2}=28\frac{4}{9}x^2+5\frac{1}{3}x+\frac{1}{4}
\end{array}$