Mathématiques

Question

bonjour vous pouvez m'aider à développer et factoriser ces expressions ​
bonjour vous pouvez m'aider à développer et factoriser ces expressions ​

1 Réponse

  • Bonsoir,

    Développer :

    A = (x + 3) (x + 5) + (x + 7) (x + 5)

    A = x² + 5x + 3x + 15 + x² + 5x + 7x + 35

    A = x² + x² + 5x + 3x + 5x + 7x + 15 + 35

    A = 2x² + 20x + 50

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

    B = 2x² + 3x + 2x + 3 + 2x² - 10x + 2x - 10

    B = 2x² + 2x² + 3x + 2x + 2x - 10x + 3 - 10

    B = 4x² - 2x - 7

    C = (x - 2) (x + 7) + (- x + 2) (4x + 3)

    C = x² + 7x - 2x - 14 - 4x² + 3x + 8x + 6

    C = x² - 4x² + 7x + 3x + 8x - 2x - 14 + 6

    C = - 3x² + 16x - 8

    D = (x + 4) (x + 7) + x² - 16

    D = x² + 7x + 4x + 28 + x² - 16

    D = x² + x² + 7x + 4x + 28 - 16

    D = 2x² + 11x + 12

    E = (x + 1) (2x - 3) + (x + 1) (4x - 7)

    E = 2x² - 3x + 2x - 3 + 4x² - 7x + 4x - 7

    E = 2x² + 4x² - 3x - 7x + 2x + 4x - 3 - 7

    E = 6x² - 4x - 10

    F = (2x - 3) (x + 9) + (4x + 1) (2x - 3)

    F = 2x² + 18x - 3x - 27 + 8x² - 12x + 2x - 3

    F = 2x² + 8x² + 18x + 2x - 3x - 12x - 27 - 3

    F = 10x² + 5x - 30

    Factoriser :

    A = (x + 3) (x + 5) + (x + 7) (x + 5)

    A = (x + 5) (x + 3 + x + 7)

    A = (x + 5) (2x + 10)

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

    B = (x + 1) (2x - 2 + 2x - 5)

    B = (x + 1) (4x - 7)

    C = (x - 2) (x + 7) + (- x + 2) (4x + 3)

    C = (x + 2) (- x - 7 + 4x + 3)

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

    D = (x + 4) (x + 7) + x² - 16

    D = (x + 4) (x + 7) + (x - 4) (x + 4)

    D = (x + 4) (x + 7 + x - 4)

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

    E = (x + 1) (2x - 3) + (x + 1) (4x - 7)

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

    F = (2x - 3) (x + 9) + (4x + 1) (2x - 3)

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