Algebra-Terme-Binomische Formel

$(a + b)^{2} $
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24
$ (a - b)^{2}$
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24
$(a + b)\cdot (a - b)$
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24
$(ax+b)^3$
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
$(ax+b)^4$
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Beispiel Nr: 17
$\begin{array}{l} (ax - b)^{2} = a^{2}x^{2} - 2\cdot a\cdot b \cdot x+ b^{2} \\ (a - b)^{2}\\ \textbf{Gegeben:} \\ (\frac{2}{5}x - \frac{1}{3})^{2}\\ \\ \textbf{Rechnung:} \\\text{2. Binomische Formel} \\(\frac{2}{5}x-\frac{1}{3})^{2}=\left(\frac{2}{5}\right)^{2}x^{2}-2\cdot\frac{2}{5}\cdot\frac{1}{3}\cdot x+\left(\frac{1}{3}\right)^{2} \\(\frac{2}{5}x-\frac{1}{3})^{2}=\frac{4}{25}x^2-\frac{4}{15}x+\frac{1}{9} \end{array}$