Website Statistics Développer et factoriser ensuite E 2x2 x3 x2 x5 x2 x4 F 2x3 x4 2x3 3x7 G 76x 76x 2x1 76x x2

Développer et factoriser ensuite :

 

E = 2(x+2) (x+3) + (x+2) (x+5) - (x+2) ( x+4)

 

F = (2x+3) (x+4) - (2x+3) (3x+7)

 

G = (7-6x) + (7-6x) (2x+1) - (7-6x) (x+2)

 

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           

Répondre :

il est préférable de factoriser puis développer !

 

E = 2(x+2) (x+3) + (x+2) (x+5) - (x+2) ( x+4)

    =(x+2)(2x+6+x+5-x-4)

    =(x+2)(2x+7)

    =x²+11x+14

 

F = (2x+3) (x+4) - (2x+3) (3x+7)

    =(2x+3)(x+4-3x-7)

    =(2x+3)(-2x-3)

    =-(2x+3)²

    =-4x²-12x-9

 

G = (7-6x) + (7-6x) (2x+1) - (7-6x) (x+2)

    =(7-6x)(1+2x+1-x-2)

    =(7-6x)(x)

    =-6x²+7x

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