Mathématiques

Question

Bonsoir,

Factorisez si possible les expressions suivantes :

A = (x + 1)²-2(x+1)

B = (2x + 3)² + (x-2)(2x+3)

C = (3x-5)²-(x+4)(3x-5)

Cordialement

2 Réponse

  • A = (x+1)[(x+1)-2]
    A = (x+1)(x+1-2)
    A = (x+1)(x-1)

    B = (2x+3)[(2x+3)+(x-2)]
    B = (2x+3)(2x+3+x-2)
    B = (2x+3)(3x+1)

    C = (3x-5)[(3x-5)-(x+4)]
    C = (3x-5)(3x-5-x-4)
    C = (3x-5)(2x-9)
  • Bonjour,

    Factoriser :

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

    B = (2x + 3)^2 + (x - 2)(2x + 3)
    B = (2x + 3)(2x + 3 + x - 2)
    B = (2x + 3)(3x + 1)

    C = (3x - 5)^2 - (x + 4)(3x - 5)
    C = (3x - 5)(3x - 5 - x - 4)
    C = (3x - 5)(2x - 9)

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