Mathématiques

Question

Factoriser f et g
f(x)=x2-9-(x+3)(7x-14)-2(x+3)
g(x)=(3-2x)2+(2x-3)(1-2x)
Merci d’avance !

1 Réponse

  • Bonjour,

    Factoriser:

    f(x)=x²-9-(x+3)(7x-14)-2(x+3)

        = (x-3)(x+3)-(x+3)(7x-14)-2(x+3)

        = (x+3)(x-3-7x+14-2)    

        = (x+3)(-6x+2)

        = - 3(x+3)(2x-3)

    g(x)= (3-2x)²+(2x-3)(1-2x)

         = (3-2x)(3-2x)+(-3+2x)(1-2x)

         = (3-2x)(3-2x)-(3-2x)(1-2x)

         = (3-2x)(3-2x-1+2x)

         = (3-2x)(2)

         = -2(2x-3)

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