Mathématiques

Question

Bonjour,Pourriez vous m'aider pour mes exercices svp Mercii :)
Consigne factoriser l'écriture f(x)

a)f(x)= x(x - 2) - (x + 3 )(2 - x)
b)f(x)=x² - 4 + 4(2x + 1) (x- 2 )
c)f(x)=x² + 4x + 4 - (x + 2 )
d)f(x)=(x + 1 ) (x + 3) - x - 1
e)f(x)= (x - 3)² - 25
f)f(x)=4 (x - 2)² - 9
g)f(x)= (x + 1)² - 2
h)f(x)= 5 - (2x - 3)²

1 Réponse

  • Bonjour,

    f(x) = x(x - 2) - (x + 3)(2 - x)
    f(x) = x(x - 2) + (x + 3)(x - 2)
    f(x) = (x - 2)(x + x + 3)
    f(x) = (x - 2)(2x + 3)

    f(x) = x^2 - 4 + 4(2x + 1)(x - 2)
    f(x) = x^2 - 2^2 + 4(2x + 1)(x - 2)
    f(x) = (x - 2)(x + 2) + 4(2x + 1)(x - 2)
    f(x) = (x - 2)(x + 2 + 4(2x + 1))
    f(x) = (x - 2)(x + 2 + 8x + 4)
    f(x) = (x - 2)(9x + 6)
    f(x) = 3(x - 2)(3x + 2)

    f(x) = x^2 + 4x + 4 - (x + 2)
    f(x) = x^2 + 2 * x * 2 + 2^2 - (x + 2)
    f(x) = (x + 2)^2 - (x + 2)
    f(x) = (x + 2)(x + 2 - 1) je te laisse finir...

    f(x) = (x + 1)(x + 3) - x - 1
    f(x) = (x + 1)(x + 3) - (x + 1)
    f(x) = (x + 1)(.... je te laisse finir

    f(x)= (x - 3)² - 25
    f(x) = (x - 3)^2 - 5^2
    f(x) = (x - 3 - 5)(x - 3 + 5) je te laisse finir

    f(x)=4 (x - 2)² - 9
    f(x) = 2^2(x - 2)^2 - 3^2
    f(x) = [2(x - 2) - 3][2(x - 2) + 3] je te laisse finir

    f(x)= (x + 1)² - 2
    f(x) = (x + 1)^2 - (V2)^2
    f(x) = (x + 1 - V2)(x + 1 + V2)

    f(x)= 5 - (2x - 3)²
    f(x) = (V5)^2 - (2x - 3)^2
    f(x) = a^2 - b^2
    f(x) = (a - b)(a + b)
    Je te laisse finir

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