Mathématiques

Question

calculer les expression suivante en justifiant

(x-2)²
(x-1)(x-4)
(x-2)²-(x-1)(x-4)

2 Réponse

  • bonjour

    (x- 2)² = x² - 4 x +4

    ( x - 1) ( x -4) = x² - 4 x - x + 4 = x² - 5 x + 4

    (x-2)² - ( x -1) ( x -4) = x² - 4 x + 4 - x² + 5 x -4 = x


  • A = (x - 2)²

    A = x² - 4x + 4


    B = (x - 1) (x - 4)

    B = x² - 4x - x + 4

    B = x² - 5x + 4


    C = (x - 2)² - (x - 1) (x - 4)

    C = x² - 4x + 4 - (x² - 4x - x + 4)

    C = x² - 4x + 4 - x² + 4x + x - 4

    C = x


    Avec x = 10


    A = (x - 2)²

    A = x² - 4x + 4

    A = 10² - 4 × 10 + 4

    A = 100 - 40 + 4

    A = 60 + 4

    A = 64


    B = (x - 1) (x - 4)

    B = x² - 5x + 4

    B = 10² - 5 × 10 + 4

    B = 100 - 50 + 4

    B = 50 + 4

    B = 54


    C = (x - 2)² - (x - 1) (x - 4)

    C = x² - 4x + 4 - x² + 4x + x - 4

    C = 10² - 4 × 10 + 4 - 10² + 4 × 10 + 10 - 4

    C = 10


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