Mathématiques

Question

Factoriser

Q(x)= 49 - (x+2) ^2
R(x) = x^2 - 25 + 2 ( x - 5) (x + 3 )

1 Réponse

  • 49 - (x + 2)²
    = 7² - (x + 2)²
    = (7 - x - 2)(7 + x + 2)
    = (- x + 5)(x + 9)

    x² - 25 + 2(x - 5)(x + 3)
    = (x + 5)(x - 5) + (x - 5)(2x + 6)
    = (x - 5)(x + 5 + 2x + 6)
    = (x - 5)(3x + 11)

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