Mathématiques

Question

bonjour besoin d'aide SVP merci

factoriser:
A = (6x + 7)² - (4x + 3)²

B = (8x + 4)² - (4x - 2)²

C = (3x + 8)² - 36

D = 36 - (x + 1 )²

2 Réponse

  • bonjour

    A = (6x + 7)² - (4x + 3)²
     (6x+7 -4x-3)(6x+7+4x+3)
    (2x+3)(10x+10)
    10(2x+3)(x+1)


    B = (8x + 4)² - (4x - 2)²
    (8x+4-4x+2)(8x+4+4x-2)
    (4x+6)(12x+2)
    2(2x+3)2(6x+1)
    4(2x+3)(6x+1)

    C = (3x + 8)² - 36
    (3x+8)² -6²
    (3x+8-6)(3x+8+6)
    (3x+2)(3x+14)


    D = 36 - (x + 1 )²
    6² -(x+1)²
    (6 -x-1)(-6+x+1)
    (-x+5)(x-5)
  • Bonjour,

    A = (6x + 7)² - (4x + 3)²
    A = (6x + 7 - 4x - 3) (6x + 7 + 4x + 3)
    A = (6x - 4x + 7 - 3) (6x + 4x + 7 + 3)
    A = (2x + 3) (10x + 10)

    B = (8x + 4)² - (4x - 2)²
    B = (8x + 4 - 4x + 2) (8x + 4 + 4x - 2)
    B = (8x - 4x + 4 + 2) (8x + 4x + 4 - 2)
    B = (4x + 6) (12x + 2)

    C = (3x + 8)² - 36
    C = (3x + 8)² - 6²
    C = (3x + 8 + 6) (3x + 8 - 6)
    C = (3x + 14) (3x + 2)

    D = 36 - (x + 1 )² 
    D = 6² - (x + 1)²
    D = (6 - x - 1) (- 6 + x + 1)
    D = (- x + 6 - 1) (x - 6 + 1)
    D = (- x + 5) (x - 5)

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