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I PRODOTTI NOTEVOLI - Coggle Diagram
I PRODOTTI NOTEVOLI
Quadrato di trinomio
(a+b+c)^2
(a^2+b^2+c^2+2ab+2bc+2ac)
es:
(2a+2b+2c)^2
4a^+4b^2+4c^2+4ab+4bc+4ac
Quadrato di binomio
(a+b)^2=
es:
(2a+3b)^2=
4a^2+9b^2+12
a^2+b^2+2ab
Cubo di binomio
(a+b)^3
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
somma x differenza
(a+b) x (a-b)=
a^2-b^2
es:
(2a+3b) x (2a-3b)=
4a^2-9b^2