Bjr , Factoriser (x-1) (x(x+1)-2) merci d'expliquer

Sagot :

Réponse :

Bjr,

(x-1) (x(x+1)-2) = (x-1) (x²+x-2)

(x-1) (x(x+1)-2) = (x-1) (x²-1+x-1)

(x-1) (x(x+1)-2) = (x-1) ((x+1)(x-1)+x-1)

(x-1) (x(x+1)-2) = (x-1) (x-1) (x+1+1)

(x-1) (x(x+1)-2) = (x-1)² (x+2)