Mathématiques

Question

Factoriser l'expression A(x).
a) A(x)=(x+2)²-16
b) A(x)=(2x+3)²-(x-1)²
c) A(x)=x²-2x
d) A(x)=(x+1)-x(x+2)

1 Réponse

  • Salut :)

    Factoriser l'expression A(x).

    a) A(x) = (x+2)²-16
    A(x) = (x + 2)² - 4²
    A(x) = (x + 2 - 4)(x + 2 + 4)
    A(x) = (x - 2)(x + 6)

    b) A(x) = (2x+3)²-(x-1)²
    A(x) = ((2x + 3) - (x - 1))((2x + 3) + (x - 1))
    A(x) = (2x + 3 - x + 1)(2x + 3 + x - 1)
    A(x) = (x + 4)(3x + 2)

    c) A(x) = x²-2x
    A(x) = (x) x (x) - 2 x (x)
    A(x) = x(x - 2)

    J'espère t'avoir aidé(e) ! :)

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