Mathématiques

Question

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

1 Réponse

  • 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)

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