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: 15
$\begin{array}{l} (ax+b)^3 =a^3\cdot x^3 +3a^2x^2b +3axb^2 +b^3 \\ (ax+b)^3\\ \textbf{Gegeben:} \\ (3x+1\frac{2}{3})^{3}\\ \\ \textbf{Rechnung:} \\
\\(3x+1\frac{2}{3})^{3}=3^{3}x^{3}+3 \cdot 3^2\cdot x^2\cdot 1\frac{2}{3}+3\cdot 3\cdot x\cdot \left(1\frac{2}{3}\right)^2+\left(1\frac{2}{3}\right)^{3}
\\(3x+1\frac{2}{3})^{3}=27x^3+45x^2+25x+4\frac{17}{27}
\end{array}$