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: 22
$\begin{array}{l} (ax + b)^{2} = a^{2}x^{2} + 2\cdot a\cdot b \cdot x + b^{2} \\ (a + b)^{2} \\ \textbf{Gegeben:} \\ (5\frac{1}{3}x + 1\frac{8}{9})^{2}\\ \\ \textbf{Rechnung:} \\\text{1. Binomische Formel}
\\(5\frac{1}{3}x+1\frac{8}{9})^{2}=\left(5\frac{1}{3}\right)^{2}x^{2}+2\cdot 5\frac{1}{3}\cdot 1\frac{8}{9}\cdot x+\left(1\frac{8}{9}\right)^{2}
\\(5\frac{1}{3}x+1\frac{8}{9})^{2}=28\frac{4}{9}x^2+20\frac{4}{27}x+3\frac{46}{81}
\end{array}$