comment déveloper (a+b)³=(a+b)²(a+b)

Bonsoir,

[tex](a + b)^{2}(a + b) = [/tex]

[tex](a^{2} + 2ab + b^{2})(a + b)= [/tex]

[tex]a^{3} + a^{2}b +2a^{2}b + 2ab^{2} + ab^{2} + b^{3} = [/tex]

[tex]a^{3} + b^{3} + 3a^{2}b + 3ab^{2} = a^{3} + b^{3} + 3ab(a + b)[/tex]