Exercices

Développement et simplification d'expressions littérales

Correction exercice 4ème
Développer puis simmplifier les expressions suivantes.
  • A = 2(5x - 4)

    A = 2(5x - 4)
    A = 10x - 8


  • B = -x(2 - x)

    B = - x(2 - x)
    B= - 2x + x2


  • C = 3(-x + 1)

    C = 3( - x + 1)
    C = - 3x + 3


  • D = (3x - 1)(-5 + 2x)

    D = (3x - 1)( - 5 + 2x)
    D = - 15x + 6x2 + 5 - 2x
    D = 6x2 - 17x + 5


  • E = (-x + 1)(4 - 3x)

    E = ( - x + 1)(4 - 3x)
    E = - 4x + 3x2 + 4 - 3x
    E = 3x2 - 7x + 4


  • F = (x + 4)(5 + 7x)

    F = (x + 4)(5 + 7x)
    F = 5x + 7x2 + 20 + 28x
    F = 7x2 + 33x + 20


  • G = (3 - 4x)(4 - x)

    G = (3 - 4x)(4 - x)
    G = 12 - 3x - 16x + 4x2
    G = 4x2 - 19x + 12


  • H = (2x + 1)(2x + 1)

    H = (2x + 1)(2x + 1)
    H = 4x2 + 2x + 2x + 1
    H = 4x2 + 4x + 1


  • I = (x + 2)(3 - 2x)(6x + 4)

    I = (x + 2)(3 - 2x)(6x + 4)
    I = (3x - 2x2 + 6 - 4x)(6x + 4)
    I = ( - 2x2 - x + 6)(6x + 4)
    I = - 12x^3 - 8x2 - 6x2 - 4x + 36x + 24
    I = - 12x^3 - 14x2 + 32x + 24


  • J = 7x(2x - 1)(-4(3x - 2))

    J = 7x(2x - 1)( - 4(3x - 2))
    J = (14x2 - 7x)( - 12x + 8)
    J = - 168x^3 + 112x2 + 84x2 - 56x
    J = - 168x^3 + 196x2 - 56x