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