Mathématiques

Question

Exercices de développements
A = 5(x - 1)-3(x + 1) - (2x + 3)
B = (x + 1)(4 - x) + 2x(x - 3)
C = (2 - x)(5x - 1)-(3x + 4)(1 - x)
D = (3 - 2x + x²)(x - 1 + x2)
E = (3x - 1)(x + 2) + (1 - 2x)(x + 5)
F = (3x - 1)(x + 2)(5 - x)
G = (2 - x)(5x - 1)-(3x + 4)(1 - x)

Merci de me répondre au plus vite

1 Réponse

  • Bonjour

    Développement :

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

    A = 5x - 5 - 3x - 3 - 2x - 3

    A = 5x - 3x - 2x - 5 - 3 - 3

    A = - 11.

    B = (x + 1)(4 - x) + 2x(x - 3)

    B = 4x - x² + 4 - x + 2x² - 6x

    B = - x² + 2x² + 4x - 6x - x + 4

    B = x² - 3x + 4

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

    C = 10x - 2 - 5x² + x - (3x - 3x² + 4 - 4x)

    C = 10x - 2 - 5x² + x - 3x + 3x² - 4 + 4x

    C = - 5x² + 3x² + 10x + x + 4x - 3x - 2 - 4

    C = - 2x² + 12x - 6

    D = (3 - 2x + x²)(x - 1 + x²)

    D = 3x - 3 + 3x² - 2x² + 2x - 2x³ + x³ - x² + x⁴

    D = x⁴ - 2x³ + x³ + 3x² - 2x² - x² + 3x + 2x - 3

    D = x⁴ - x³ + 5x - 3

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

    E = 3x² + 6x - x - 2 + x + 5 - 2x² - 10x

    E = 3x² - 2x² + 6x - x + x - 10x - 2 + 5

    E = x² - 4x + 3

    F = (3x - 1)(x + 2)(5 - x)

    F = (3x² + 6x - x - 2) (5 - x)

    F = 15x² - 3x³ + 30x - 6x² - 5x + x² - 10 + 2x

    F = - 3x³ + 15x² + x² - 6x² + 30x + 2x - 5x - 10

    F = - 3x³ + 10x² + 27x - 10

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

    G = 10x - 2 - 5x² + x - (3x - 3x² + 4 - 4x)

    G = 10x - 2 - 5x² + x - 3x + 3x² - 4 + 4x

    G = - 5x² + 3x² + 10x + x + 4x - 3x - 2 - 4

    G = - 2x² + 12x - 6

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