Mathématiques

Question

Développer, réduire et ordonner :

Exercice 1
A = 3 - (x + 5)
C = 3+ y + (5 - y) - (3 - y)
E = -4(-3x - 1) - (4x + 7)
G = 2 + x + (8 - x) - (2-x)
I = 5x - 4(1 - 10x)
K = x - 4(x - 3) + 3 (x - 2)
M = 4x - 3(x + 7) + 2(x - 3)
0 = 10x + 2(1-x) - 3(4x + 2)
P = 4x2 + x(2 - x) - (2x2 - 1)
B = x + (5 - y)
D = 2 - (x + 3)
F = y + (3 - x)
H = 5(3x + 2) - (x - 5)
J = 2(x + 8) - (x + 6)
L = 4(x - 1) + 5(7 - 2x)
N = 2(x - 1) + x(3 + x)
Merci de votre réponse​

2 Réponse

  • Bonjour,

    A = 3 - (x + 5) = 3-x+5 = x +8

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

    E = -4(-3x - 1) - (4x + 7) =12x +4 -4x -7=

    G = 2 + x + (8 - x) - (2-x) = 2+x +8-x  -2 +x =

    I = 5x - 4(1 - 10x) = 5x -4 +40x =

    K = x - 4(x - 3) + 3 (x - 2) =   x -4x +12 +3x -6=

    M = 4x - 3(x + 7) + 2(x - 3) = 4x -3x -21 +2x -6=

    0 = 10x + 2(1-x) - 3(4x + 2) = 10x +2 -2x -12x -6 =

    P = 4x² + x(2 - x) - (2x² - 1) =  4x² +2x -x² -2x² +1=

    B = x + (5 - y)= x +5-y=

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

    F = y + (3 - x) = y+3 -x=

    H = 5(3x + 2) - (x - 5) = 15x +16 -x -6=

    J = 2(x + 8) - (x + 6) = 2x +16 -x -6=

    L = 4(x - 1) + 5(7 - 2x) = 4x -4 +35 -14x =

    N = 2(x - 1) + x(3 + x) = 2x -2 +3x +x² =

    Je te laisse faire les opérations, le plus gros est  fait.

  • Bonjour,

    Explications étape par étape :

    Développer, réduire et ordonner :

    Exercice 1

    A = 3 - (x + 5)

    A = 3 - x - 5

    A = -x - 2

    C = 3+ y + (5 - y) - (3 - y)

    C = 3 + y + 5 - y - 3 + y

    C = 3 - 3 + 5 + y - y + y

    C = 5 + y

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

    E = -4 * (-3x) - 4 * (-1) - 4x - 7

    E = 12x + 4 - 4x - 7

    E = 8x - 3

    G = 2 + x + (8 - x) - (2-x)

    G = 2 + x + 8 - x - 2 + x

    G = 2 - 2 + x - x + 8 + x

    G = 8 + x

    I = 5x - 4(1 - 10x)

    I = 5x - 4 * 1 - 4 * (-10x)

    I = 5x - 4 + 40x

    I = 45x - 4

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

    K = x - 4 * x - 4 * (-3) + 3 * x + 3 * (-2)

    K = x - 4x + 12 + 3x - 6

    K = -3x + 3x + 12 - 6

    K = 6

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

    M = 4x - 3x - 21 + 2x - 6

    M = 3x - 27

    O = 10x + 2(1-x) - 3(4x + 2)

    O = 10x + 2 - 2x - 12x - 6

    O = 10x - 14x + 2 - 6

    O = -4x - 4

    P = 4x2 + x(2 - x) - (2x2 - 1)

    P = 4x² + 2x - x² - 2x² + 1

    P = 4x² - 3x² + 2x + 1

    P = x² + 2x + 1

    B = x + (5 - y)

    B = x + 5 - y

    D = 2 - (x + 3)

    D = 2 - x - 3

    D = -x - 1

    F = y + (3 - x)

    F = y + 3 - x

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

    H = 15x + 10 - x + 5

    H = 14x + 15

    J = 2(x + 8) - (x + 6)

    J = 2x + 16 - x - 6

    J = x + 10

    L = 4(x - 1) + 5(7 - 2x)

    L = 4x - 4 + 35 - 10x

    L = -6x + 31

    N = 2(x - 1) + x(3 + x)

    N = 2x - 2 + 3x + x²

    N = x² + 5x - 2

Autres questions