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...	...	@@ -1,61 +1,62 @@
1	1	Vereinfache:
2		-1.a)(((
	2	+1.a)
	3	+
3	3	{{formula}}
4		-\begin{align*}
5		-&\color{blue}{2(4a - 5) - 3(2a - 3) + 4(-3a + 5)} \\
	5	+\begin{align}
	6	+&\textcolor{blue!50!black}{2(4a - 5) - 3(2a - 3) + 4(-3a + 5)} \\
6	6	&= 8a - 10 - 6a + 9 - 12a + 20 = \textbf{-10a + 19}
7		-\end{align*}
	8	+\end{align}
8	8	{{/formula}}
9		-)))
	10	+
10	10	1.b)
11	11
12	12	{{formula}}
13		-\begin{align*}
14		-&\color{blue}{x - (x + 3) - 4(-x + 1)}\\
	14	+\begin{align}
	15	+&\textcolor{blue!50!black}{x - (x + 3) - 4(-x + 1)}\\
15	15	&= x - x - 3 + 4x - 4 = \textbf{4x - 7}
16		-\end{align*}
	17	+\end{align}
17	17	{{/formula}}
18	18
19	19	2.a)
20	20
21	21	{{formula}}
22		-\begin{align*}
23		-&\color{blue}{6a - 2(7b - (4a + 3b)) + 2((2a - b) - 7a)}\\
	23	+\begin{align}
	24	+&\textcolor{blue!50!black}{6a - 2(7b - (4a + 3b)) + 2((2a - b) - 7a)}\\
24	24	&= 6a - 2(7b - 4a - 3b) + 2(2a - b - 7a) \\
25	25	&= 6a - 14b + 8a + 6b + 4a - 2b - 14a = \textbf{4a - 10b}
26		-\end{align*}
	27	+\end{align}
27	27	{{/formula}}
28	28
29	29	2.b)
30	30
31	31	{{formula}}
32		-\begin{align*}
33		-&\color{blue}{2x + 3(4 - (2x + 1) + 3x)}\\
	33	+\begin{align}
	34	+&\textcolor{blue!50!black}{2x + 3(4 - (2x + 1) + 3x)}\\
34	34	&= 2x + 3(4 - 2x - 1 + 3x)\\
35	35	&= 2x + 3(3 + x) = 2x + 9 + 3x = \textbf{5x + 9}
36		-\end{align*}
	37	+\end{align}
37	37	{{/formula}}
38	38
39	39	Multipliziere aus:
40	40
41		-3.a) {{formula}}\color{blue}{(3a + b)(a - 5b)} = \mathbf{3a^2 - 14ab - 5b^2}{{/formula}}
	42	+3.a) {{formula}}\textcolor{blue!50!black}{(3a + b)(a - 5b)} = \mathbf{3a^2 - 14ab - 5b^2}{{/formula}}
42	42	3.b) {{formula}}(4x - 3)(-x + \frac{1}{3})= \mathbf{-4x^2 + \frac{13}{3}x - 1}{{/formula}}
43	43
44		-4.a) {{formula}}\color{blue}{(2x + y)^2}= \mathbf{4x^2 + 4xy + y^2}{{/formula}}
45		-4.b) {{formula}}\color{blue}{(x - 3y)^2}= \mathbf{x^2 - 6xy + 9y^2}{{/formula}}
46		-4.c) {{formula}}\color{blue}{(x^2 - 2)(x^2 + 2)}= \mathbf{x^4 - 4}{{/formula}}
	45	+4.a) {{formula}}\textcolor{blue!50!black}{(2x + y)^2}= \mathbf{4x^2 + 4xy + y^2}{{/formula}}
	46	+4.b) {{formula}}\textcolor{blue!50!black}{(x - 3y)^2}= \mathbf{x^2 - 6xy + 9y^2}{{/formula}}
	47	+4.c) {{formula}}\textcolor{blue!50!black}{(x^2 - 2)(x^2 + 2)}= \mathbf{x^4 - 4}{{/formula}}
47	47	4.d)
48	48
49	49	{{formula}}
50		-\begin{align*}
51		-&\color{blue}{(3 - x)^2 - (x + 1)^2 + 2(x - 1)(x + 1)}\\
	51	+\begin{align}
	52	+&\textcolor{blue!50!black}{(3 - x)^2 - (x + 1)^2 + 2(x - 1)(x + 1)}\\
52	52	&= (9 - 6x + x^2) - (x^2 + 2x + 1) + 2(x^2 - 1)\\
53	53	&= 9 - 6x + x^2 - x^2 - 2x - 1 + 2x^2 - 2 = \mathbf{2x^2 - 8x + 6}
54		-\end{align*}
	55	+\end{align}
55	55	{{/formula}}
56	56
57	57	Faktorisiere:
58	58
59		-5.a) {{formula}}\color{blue}{12ax^2 - 8ax}= \mathbf{4ax(3x - 2)}{{/formula}}
60		-5.b) {{formula}}\color{blue}{3x^2 - 12}= 3(x^2 - 4) = \mathbf{3(x - 2)(x + 2)}{{/formula}}
61		-5.c) {{formula}}\color{blue}{\frac{3ax^2 - 3a}{9x + 9}}= \frac{3a(x^2 - 1)}{9(x + 1)} = \frac{a(x - 1)(x + 1)}{3(x + 1)} = \mathbf{\frac{a(x - 1)}{3}}{{/formula}}
	60	+5.a) {{formula}}\textcolor{blue!50!black}{12ax^2 - 8ax}= \mathbf{4ax(3x - 2)}{{/formula}}
	61	+5.b) {{formula}}\textcolor{blue!50!black}{3x^2 - 12}= 3(x^2 - 4) = \mathbf{3(x - 2)(x + 2)}{{/formula}}
	62	+5.c) {{formula}}\textcolor{blue!50!black}{\frac{3ax^2 - 3a}{9x + 9}}= \frac{3a(x^2 - 1)}{9(x + 1)} = \frac{a(x - 1)(x + 1)}{3(x + 1)} = \mathbf{\frac{a(x - 1)}{3}}{{/formula}}