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
$\begin{array}{l} (ax - b)^{2} = a^{2}x^{2} - 2\cdot a\cdot b \cdot x+ b^{2} \\ (a - b)^{2}\\ \textbf{Gegeben:} \\ (5\frac{1}{3}x - 1\frac{8}{9})^{2}\\ \\ \textbf{Rechnung:} \\\text{2. Binomische Formel}
\\(5\frac{1}{3}x-1\frac{8}{9})^{2}=\left(5\frac{1}{3}\right)^{2}x^{2}-2\cdot5\frac{1}{3}\cdot1\frac{8}{9}\cdot x+\left(1\frac{8}{9}\right)^{2}
\\(5\frac{1}{3}x-1\frac{8}{9})^{2}=28\frac{4}{9}x^2-20\frac{4}{27}x+3\frac{46}{81}
\end{array}$