Mathématiques

Question

stp aider moi je comprends pas

Exercice 3 : Développer et réduire les expressions suivantes.
A(x) = (2x - 3)(5x - 4)
B(x) = 2x(5x - 3) - 7
D(x) = (x + 5)2
*C(x) = 3x - (x - 1) - (x + 7)(x + 3)
F(x) = (4x - 1)2
E(x) = (6 + 7x)(6 - 7x)​

1 Réponse

  • Bonsoir,

    Exercice 3 : Développer et réduire les expressions suivantes.

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

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

    A(x) = 10x² - 8x - 15x + 12

    A(x) = 10x² - 23x + 12

    B(x) = 2x(5x - 3) - 7

    B(x) = 2x × 5x + 2x × (- 3) - 7

    B(x) = 10x² - 6x - 7

    D(x) = (x + 5)²

    D(x) = (x + 5)(x + 5)

    D(x) = x × x + x × 5 + 5 × x + 5 × 5

    D(x) = x² + 5x + 5x + 25

    D(x) = x² + 10x + 25

    F(x) = (4x - 1)²

    F(x) = (4x - 1) (4x - 1)

    F(x) = 4x × 4x + 4x × (- 1) - 1 × 4x - 1 × (- 1)

    F(x) = 16x² - 4x - 4x + 1

    F(x) =  16x²- 8x + 1

    E(x) = (6 + 7x)(6 - 7x)​

    E(x) = 6 × 6 + 6 × (-7x) + 7x × 6 - 7x × (-7x)

    E(x) = 36 - 42x + 42x + 49x²

    E(x) = 49x² + 36

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