Binomische Formeln und Co.
L¨osungen:
1.
(a−b)2 =a2 −2ab+b2 2.
(a+x)2 =a2+ 2ax+x2 3.
(x−A)(x+A) =x2−A2 4.
(a+ 2)2 =a2+ 4a+ 4 5.
(a−2)2 =a2−4a+ 4 6.
(a+ 2)(2−a) = 4−a2 7.
(a+b)(c+d) = ac+ad+bc+bd 8.
(a−b)(c−d) = ac−ad−bc+bd 9.
(a−b)(c+d) = ac+ad−bc−bd 10.
−4·(y−3)(−5−x) = 20x+ 4xy−60−12x
1
11.
(6 +η)·(−3)·(η−1)·15 = 270−225η−45η2 12.
(5(7−γ))
(γ−12)1 6
·
− 2 49
= 5
147γ2− 95
147γ+20 7 13.
7− 13µ 6
·
− 16 138
·
−106 65
·
10
−a
2 −µ17 53
= −5936
897 a−28832
4485 µ+424
207aµ− 14416 7245 µ2
2
