Mathématiques

Question

On considere A = (2x + 5) (x-7) + (x-7) (3x -2)
1) Developper puis reduire A.
2) Factoriser A.
3) Calculer A pour X = - 2

1 Réponse

  • A = (2x + 5) (x-7) + (x-7) (3x -2)
    a = 2x²-14x+5x-35+3x²-2x-21x+14
    a = 5x² -32x-21

    factoriser
    A = (2x + 5) (x-7) + (x-7) (3x -2)
    a =(x-7)(2x+5+3x-2)
    a =(x-7)(5x+3)

    pour x = -2
    a = 5x² -32x-21
    a = 5(-2)² -32(-2)-21
    a= 20+61-21
    a = 60

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