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I PRODOTTI NOTEVOLI - Coggle Diagram

- - - - (2a+2b+2c)^2
        
        4a^+4b^2+4c^2+4ab+4bc+4ac
- - - - (2a+3b)^2=
        
        4a^2+9b^2+12
- - - - a^3+b^3+3a^2b+3ab^2
    - - (2a+3b)^3
        
        8a^3+27b^3+3 x (2a)^2 x (3b)+3 x (2a) x (3b)^2
        
        8a^3+27b^3+36a^2b+54ab^2
- - - - (2a+3b) x (2a-3b)=
        
        4a^2-9b^2

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I PRODOTTI NOTEVOLI

a^3+b^3+3 x (a)^2 x (b)+3 x (a) x (b)^2=

Quadrato di trinomio

Quadrato di binomio

Cubo di binomio

somma x differenza

(a+b) x (a-b)=

(a+b)^3

(a+b)^2=

(a+b+c)^2

(a^2+b^2+c^2+2ab+2bc+2ac)

a^2-b^2

es:

(2a+3b) x (2a-3b)=

4a^2-9b^2

a^3+b^3+3 x (a)^2 x (b)+3 x (a) x (b)^2=

a^3+b^3+3a^2b+3ab^2

es:

(2a+3b)^3

8a^3+27b^3+3 x (2a)^2 x (3b)+3 x (2a) x (3b)^2

8a^3+27b^3+36a^2b+54ab^2

es:

a^2+b^2+2ab

(2a+3b)^2=

4a^2+9b^2+12

es:

(2a+2b+2c)^2

4a^+4b^2+4c^2+4ab+4bc+4ac