Mathématiques

Question

boujour, j'aurai besoin d'aide pour cet exercice, je suis perdu.

Exercice 2 : Factoriser les expressions suivantes.
A = (6x + 3)(2x – 5) + (3x + 1)(6x + 3)
B = (4x – 5)(2 – 2x) + (4x – 5)²
C = (3x + 5)(3 – x) – (3x + 5)(2 + 5x)
D = (3x + 4)² – (3x + 4)(8x + 6)
E = (4x + 3)(3 – 6x) – (4x + 3)(5 + 4x)

1 Réponse

  • Bonjour,

    Factoriser:

    A = (6x + 3)(2x - 5) + (3x + 1)(6x + 3)

    A = (6x +3)(2x - 5 + (3x + 1))

    A = (6x + 3)(2x - 5 + 3x + 1)

    A = (6x + 3)(5x - 4)

    A = 3(2x + 1)(5x - 4)

    B = (4x - 5)(2 - 2x) + (4x - 5)²

    B = (4x - 5)(2 - 2x) + (4x - 5)(4x - 5)

    B = (4x - 5)(2 - 2x + (4x - 5))

    B = (4x - 5)(2 - 2x + 4x - 5)

    B = (4x - 5)(2x - 3)

    C = (3x + 5)(3 - x) - (3x + 5)(2 + 5x)

    C = (3x + 5)(3 - x - (2 + 5x))

    C = (3x + 5)(3 - x - 2 - 5x)

    C = (3x + 5)(-6x + 1)

    D = (3x + 4)² - (3x + 4)(8x + 6)

    D = (3x + 4)(3x + 4) - (3x + 4)(8x + 6)

    D = (3x + 4)(3x + 4 - (8x + 6))

    D = (3x + 4)(3x + 4 - 8x - 6)

    D = (3x + 4)(-5x - 2)

    E = (4x + 3)(3 - 6x) - (4x + 3)(5 + 4x)

    E = (4x + 3)(3 - 6x - (5 + 4x))

    E = (4x + 3)(3 - 6x - 5 - 4x)

    E = (4x + 3)(-10x - 2)

    E = -2(5x + 1)(4x + 3)

    Bonne journée.

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