Mathématiques

Question

Bonjour il faut développer et réduire A = -2(3x + 4) + 4(5x - 3) B = (x - 5)-(-5x + 4) C = -(3x - 4) + (5x + 2) 3x D = (-x + 7)(1 - 3x) E = (4x + 2)(4x - 2) F = 2(3 - x) - (5x - 2)(3x - 3) G = (y-2) (y + 2) H = (5y - 8) (5y + 8)​
Bonjour il faut développer et réduire  A = -2(3x + 4) + 4(5x - 3) B = (x - 5)-(-5x + 4) C = -(3x - 4) + (5x + 2) 3x D = (-x + 7)(1 - 3x) E = (4x + 2)(4x - 2) F

1 Réponse

  • Bonjour,

    A=-2(3x + 4) + 4(5x - 3)

     = -2×3x + 4×-2 + 4×5x -3×4

     = -6x -8 + 20x -12

     = 14x -20

    B = (x - 5)-(-5x + 4)

      = x -5 +5x -4

      = 6x -9

    C= -(3x - 4) + (5x + 2) 3x

      = -3x +4 + 5x×3x +2×3x

      = -3x +4 +15x² +6x

      = 15x² +3x +4

    D = (-x + 7)(1 - 3x)

       = -x×1 -x×-3x +7×1 -3x×7

       = -x +3x² +7 -21x

       = 3x² -22x +7

    E = (4x + 2)(4x - 2)

      = 4x×4x -2×4x +2×4x -2×2

      = 16x² -8x +8x-4

      = 16x² -4

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

      = 6−2x−(5x−2)(3x−3)

      = 6−2x−(15x² −15x −6x +6)

      = 6−2x−(15x² −21x +6)

      = 6−2x−15x² +21x −6

      = 6 + 19x −15x² −6

      = 19x−15x²

    G = (y-2) (y + 2)

       = y×y + y×2 -2×y -2×2

       = y² + 2y -2y -4

       = y² −4

    H = (5y - 8) (5y + 8)​

       = 5y×5y + 5y×8 -8×5y -8×8

       = 25y² + 40y -40y -64

       = 25y² -64

    Voilà, bonne journée :)