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Binomische Formeln

Binomische Formeln

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Binomische Formel hoch 2:
 
1. Binomische Formel:
 
(a + b)² = a² + 2ab + b²
 
(- a – b)² = a² + 2ab + b²
 
 
2. Binomische Formel:
 
(a – b)² = a² – 2ab + b²
 
(- a + b)² = a² + 2ab + b²
 
3. Binomische Formel:
 
(a – b) * (a + b) = a² – b²

 

Binomische Formel hoch 3:

(a + b)³ = a³ + 3a²b + 3a²b² + b³

 

(a – b)³ = a³ – 3a²b + 3a²b² – b³

 
(- a – b)³ = – a³ – 3a²b – 3a²b² – b³

 
       
a³ – b³ = (a – b) * (a² + ab + b²)
 
a³ + b³ = (a + b) * (a² – ab + b²)