Mathématiques

Question

Bonjour,

Factoriser les expressions suivantes :
A=(1-4x)au carré +(5x+7)(1-4x)
B=3x(8-2x)-(8-2x)au carré
C=(6x+3) au carré -(6x-3)(6x+3)

Merci urgent !

2 Réponse

  • Factoriser les expressions suivantes :
    A=(1-4x)au carré +(5x+7)(1-4x)
    =(1-4x)(1-4x+5x+7)
    =(1-4x)(x+8)

    B=3x(8-2x)-(8-2x)au carré
    =(8-2x)(3x-8+2x)
    =(8-2x)(5x-8)

    C=(6x+3) au carré -(6x-3)(6x+3)
    =(6x+3)(6x+3-6x+3)
    =18(2x+1)
  • A = (1 - 4x)² + (5x + 7) (1 - 4x)
    A = (1 - 4x) [(1 - 4x) + (5x + 7)]
    A = (1 - 4x) (1 - 4x + 5x + 7)
    A = (1 - 4x) (x + 8)

    B = 3x (8 - 2x) - (8 - 2x)²
    B = (8 - 2x) [3x - (8 - 2x)]
    B = (8 - 2x) (3x - 8 + 2x)
    B = (8 - 2x) (5x - 8)

    C = (6x + 3)² - (6x - 3) (6x + 3)
    C = (6x + 3) [(6x + 3) - (6x - 3)]
    C = (6x + 3) (6x + 3 - 6x + 3)
    C = (6x + 3) * 6

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