Mathématiques

Question

bonjour, pouvez-vous m'aider pour ses factorisations :

A(t)=(2t - 1) (t+1) - 2(t + 1)
B(t)=(t - 4)² + (t - 4) (2t + 3)
C(t)=(2t - 1) (3t + 5) + 4t (3t + 5)
D(t)=(5t-1) (3t - 2) - (5t - 1)²

2 Réponse

  • bonjour

    A(t)=(2t - 1) (t+1) - 2(t + 1)

    A (t) = ( t + 1 ) ( 2 t - 1 - 2 )

    A (t) = ( t - 1) ( 2 t - 3 )

    B(t)=(t - 4)² + (t - 4) (2t + 3)

    B (t) = ( t - 4 ) ( t - 4 + 2 t + 3)

    B  (t) = ( t - 4 ) ( 3 t - 1 )

    C(t)=(2t - 1) (3t + 5) + 4t (3t + 5)

    C (t) = ( 3 t  + 5 ) ( 2 t - 1 + 4 t)

    C (t) =  ( 3 t + 5 ) ( 6 t - 1 )

    D(t)=(5t-1) (3t - 2) - (5t - 1)²

    D (t) = ( 5 t - 1) ( 3 t - 2 - 1 )

    D (t) = ( 5 t - 1 )( 3 t - 3 )

    D (t) = 3 ( 5 t - 1) ( t - 1 )

  • Réponse :

    A(t)=(2t - 1) (t+1) - 2(t + 1)

    (t+1(2t-1-2)= (t+1)(2t-3)

    B(t)t-=(t - 4)² + (t - 4) (2t + 3)

    (t-4)(t-4+2t+3)) =(t-4)(3t-1)

    C(t)=(2t - 1) (3t + 5) + 4t (3t + 5)

    (3t+5)(2t-1+4t) = (3t+5)(6t-1)

    D(t)=(5t-1) (3t - 2) - (5t - 1)²

    (5t-1)(3t-2-5t+1) =(5t-1)(-2t-1)

    Explications étape par étape

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