Mathématiques

Question

Svp factoriser ses expressions
x2+6x+9
36x2-25
9x2-12x+4
49x2-49
100-40x+4x2

2 Réponse

  • Bonsoir,

    x² + 6x + 9

    = (x)² + (2)(3)(x) + (3)²

    = (x + 3)²

    36x² - 25

    = (6x)² - (5)²

    = (6x - 5)(6x + 5)

    9x² - 12x + 4

    = (3x)² - (2)(2)(3x) + (2)²

    = (3x - 2)²

    49x² - 49

    = (7x)² - (7)²

    = (7x - 7)(7x + 7)

    100 - 40x + 4x²

    = (10)² - (2)(10)(2x) + (2x)²

    = (10 - 2x)²

  • x^2+6x+9= (x+3)^2

    36x^2-25= (6x-5)(6x+5)

    9x^2-12x+4= (3x-2)^2

    49x^2-49= (7x-7)(7x+7)

    100-40x+4x^2=(2x-10)^2

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