Mathématiques

Question

Factoriser (x-3)(x-1)+(x-3)(x-5) svp

2 Réponse

  • Bonsoir,

    (x-3) (x-1) + (x-3) (x-5) = (x-3) (x - 1 + x - 5) = (x-3) (2x -6) = 2 (x-3) (x-3)

    = 2 (x-3)²  

  • Bonsoir,

    Factoriser:

    A = (x - 3)(x - 1) + (x - 3)(x - 5)

    >> x - 3 est notre facteur commun

    A = (x - 3)(x - 1 + (x - 5))

    A = (x - 3)(x - 1 + x - 5)

    A = (x - 3)(2x - 6)

    A = 2(x - 3)(x - 3)

    A = 2(x - 3)²

    Facteur commun:

    ka + kb = k(a + b)

    Bonne soirée.

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