Mathématiques

Question

Bonjour aidez moi a l'exercice 23 :) il faut développer
Bonjour aidez moi a l'exercice 23 :) il faut développer

1 Réponse

  • 23)

    a) (x + 5) (x + 1)
    = x² + x + 5x + 5
    = x² + 6x + 5

    b) (2x - 5) (x + 4)
    = 2x² + 6x - 5x - 20
    = 2x² + x - 20

    c) (2x - 3) (3x - 8)
    = 6x² - 16x - 9x + 24
    = 6x² - 25x + 24

    d) - (1 + 2x) (9x + 1)
    = - (9x + 1 + 18x² + 2x)
    = - 9x - 1 - 18x² - 2x
    = - 18x² - 9x - 2x - 1
    = - 18x² - 11x - 1

    e) - (3x - 3/7) (7x - 14)
    = - (21x² - 42x - 21/7x + 42/7)
    = - 21x² + 42x + 21/7x - 42/7
    = - 147/7x² + 294/7x + 21/7x - 42/7
    = - 147x² + 294x + 21x - 42
    = 147x² + 315x - 42

    24)

    A = 4x + (2x + 1) (5x - 3)
    A = 4x + 10x² - 6x + 5x - 3
    A = 10x² + 4x + 5x - 6x - 3
    A = 10x² + 3x - 3

    B = (x + 3) (y + 9) + 10x - 7
    B = xy + 9x + 3y + 27 + 10x - 7
    B = xy + 9x + 10x + 3y + 27 - 7
    B = xy + 19x + 3y + 20

    C = (3x - 5) (7 + 6x) - (7 + x)
    C = 21x + 18x² - 35 - 30x - 7 - x
    C = 18x² + 21x - 30x - x - 35 - 7
    C = 18x² - 10x - 42