Mathématiques

Question

J'ai besoins d'aide !

Factoriser.
(X-1)(2X+5)+(-2X+3)(2X+5)

(X-4)(3X+1)-(3X+1)(X+2)

(2X+1)au carré -(2X+1)(X+2)

4Xau carré +12X+9

2 Réponse

  • 1.(2x+5)(x-1-2x+3)
    =(2x+5)(-x+2)

    2.(3x+1)(x-4-x-2)
    (3x+1)(8)
    =8(3x+1)

    3.(2x+1)(2x+1-x-2)
    =(2x+1)(x-1)

    4.(2x+3)carré
  • (x - 1)(2x + 5) + (- 2x + 3)(2x + 5)
    = (2x + 5)(x - 1 - 2x + 3)
    = (2x + 5)(- x + 2)

    (x + 4)(3x + 1) - (3x + 1)(x + 2)
    = (3x + 1)(x + 4 - x - 2)
    = 2(3x + 1)

    = (2x + 1)² - (2x + 1)(x + 2)
    = (2x + 1)(2x + 1 - x - 2)
    = (2x + 1)(x - 1)

    4x² + 12x + 9
    = 2x * 2x + 2 * 2x * 3 + 3 * 3
    = (2x + 3)²

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