Faltblattaufgaben
EduvinetBinomische Formeln (5a)ZUM
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Lösungen:
     Ergänze zur binomischen Formel, falls möglich:
    Aufgabengruppe 1
a) (x - y )2 =
b) (2a - b )2 =
c) (1/4u - 3v )2 =
d) (1/5a - 4c )2 =

e) (x - 3y )2 =
f) (1/5a2 - 2b )2 =
g) (3a - 1/6c2 )2 =
h)  (1/3a21/4d2 )2 =
x2xy + y2
4a2 - 2ab + b2
1/16u23/2uv + 9v2
1/25a28/5ac + 16c2  

1/4x2 - 3xy + 9y2
1/25a44/5a2b + 4b2
9a2 - ac21/36c4
1/9a41/6a2d21/16d4


Aufgabengruppe 2
a) (5x + y )2 =
b) (2a + 1/3b )2 =
c) (u + 1/3v )2 =
d) (1/6a2 + 4c )2 =

e) (12x + 1/3y )2 =
f) (a + 1/6b )2 =
g) (1/3a21/7c )2 =
h)  (5a21/5d2 )2 =
25x2 + 5xy + 1/4y2
4a24/3ab + 1/9b2
u22/3uv + 1/9v2
1/36a44/3a2c + 16c2  

144x2 + 8xy + 1/9y2
1/4a21/6ab + 1/36b2
1/9a42/21a2c + 1/49c2
25a4 + 2a2d21/25d4

Aufgabengruppe 3
a) (x + 7y ) · (x - 7y) = 
b) (2/5x + 3y ) · (2/5x - 3y) = 
c) (1,2a2 + 3b ) · (1,2a2 - 3b) = 
d) (1/10x23/5y2 ) · (1/10x23/5y2) = 

e) (1/3a - 1/3b) · (1/3a + 1/3b) = 
f) (1/4r + 15s) · (1/4r - 15s) = 
g) (15a - 1/5y ) · (1,5a + 1/5y) = 
g)  (1,1x + 3/5y ) · (1,1x - 3/5y) = 
1/4x2 -  49y2
4/25x2 -  9y2
1,44a4 -  9b2
1/100x2 -  9/25y2  

1/9a2 -  1/9b2
1/16r2 -  225s2
2,25a2 -  1/25y2
1,21x2 -  9/25y2

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