Mathématiques

Question

Bonjour,
E= (3x+2)² - (3x+2)(x+7)
a. Développer et réduire E
b. Factoriser E
c. Calculer E pour x = 1/2                 

2 Réponse

  • Bonjour,
    a
    E = 9x²+12x+4 - (3x²+21x+2x+14) = 9x²+12x+4-3x²-23x-14 = 6x²-11x-10
    b
    E = (3x+2)[3x+2-(x+7)] = (3x+2)(2x-5)
    c
    Pour x = 1/2, E = (3/2+2)(1-5) = 7/2(-4) = -14
  • bonjour,

    E= (3x+2)² - (3x+2)(x+7)
    e = 9x²+12x+4 -(3x²+21x+2x+14)
    e = 9x²+12x+4 -3x²-23x-14
    e = 6x²-11x-10

    E= (3x+2)² - (3x+2)(x+7)
    (3x+2)(3x+2-x-7)
    (3x+2)(2x-5)

    e =6x²-11x-10
    e = 6(1/2)² -11(1/2) -10
    e = 6(1/4) -11/2 -10
    e = 6/4 -11/2-10
    e = 3/2 -11/2 -10
    e = -8/2 -10
    e = -4-10
    e = -14

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