Mathématiques

Question

Voici mon DM, il faut répondre seulement au 2 ! Merci
Voici mon DM, il faut répondre seulement au 2 ! Merci

1 Réponse

  • A = (3/2)² - 1/3 x (- 5/2)
    A = 3²/2² + 5/6
    A = 9/4 + 5/6
    A = 9 x 6 / 4 x 6 + 5 x 4 / 6 x 4
    A = 54/24 + 20/24
    A = 74/24
    A = 2 x 37 / 2 x 12
    A = 37/12

    B = 11/3 - 7
            25/6
    B = 11/3 - 7 x 3 / 1 x 3
                   25/6
    B = 11/3 - 21/3
               25/6
    B = - 10/3 : 25/6
    B = - 10/3 x 6/25
    B = - 60/75
    B = 15 x - 4 / 15 x 5
    B = - 4/5

    C = 1 - 1/3 x 3/4 - 1/5
             3
    C = 1 x 3  / 1 x 3 - 1/3 x 3/4 - 1/5
                      3
    C = 3/3 - 1/3  x 3/7 - 1/5
              3
    C = 2/3 x 3/7 - 1/5
           3
    C = 2/3 : 3 x 3/7 - 1/5
    C = 2/3 x 1/3 x 3/7 - 1/5
    C = 2/9 x 3/7 - 1/5
    C = 6/63 - 1/5
    C = 6 x 5 / 63 x 5 - 1 x 63 / 5 x 63
    C = 30/315 - 63/315
    C = - 33/315
    C = 3 x - 11 / 3 x 105
    C = - 11/105

    D = 6 - 4 (1/4 - 1)²
    D = 6 - 4 (1/4 - 1 x 4 / 1 x 4)²
    D = 6 - 4 (1/4 - 4/4)²
    D = 6 - 4 (1²/4² - 4²/4²)
    D = 6 - 4 (1/16 - 16/16)
    D = 6 - 4 (- 15/16)
    D = 6 + 60/16
    D = 6 x 16 / 1 x 16 + 60/16
    D = 96/16 + 60/16
    D = 156/16
    D = 4 x 39 / 4 x 4
    D = 39/4

    E = 4/3 - 1/3 : (3 + 1/2)
    E = 4/3 - 1/3 : (3 x 2 / 1 x 2 + 1/2)
    E = 4/3 - 1/3 : (6/2 + 1/2)
    E = 4/3 - 1/3 : 7/2
    E = 4/3 - 1/3 x 2/7
    E = 4/3 - 2/21
    E = 4 x 7 / 3 x 7 - 2/21
    E = 28/21 - 2/21
    E = 26/21