Mathématiques

Question

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Factorise:
10x2 – 15x,
4x 2 – 2x,
42x5 y3 - 30x²y7 - 18x4y4,
3(2 + 3x) - (5 + 2x)(2 + 3x),
(5x -4)(2x +1) - (5x -4)(4x -3),
(1-2y)(4y+3) – (1-2y),
(1 - 6x)² - (1 - 6x)(2 + 5x)

1 Réponse

  • 10x^2 - 15x = 5x * (2x - 3)

    4x^2 - 2x = 2x * (2x - 1)

    42x^5y^3 - 30x^2y^7 - 18x^4y^4 =
    6x^2y3 * (7x^3 - 5y^4 - 3x^2y)

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

    (5x - 4)(2x + 1) - (5x - 4)(4x - 3) =
    (5x - 4)(2x + 1 - 4x + 3)
    (5x - 4)(-2x + 4)
    (5x - 4) * 2(-x + 2)
    2(5x - 4)(-x + 2)

    (1 - 2y)(4y + 3) - (1 - 2y) =
    (1 - 2y)(4y + 3 - 1)
    (1 - 2y)(4y + 2)
    (1 - 2y) * 2(2y + 1)
    2(1 - 2y)(2y + 1)

    (1 - 6x)^2 - (1 - 6x)(2 + 5x) =
    (1 - 6x)(1 - 6x - 2 - 5x)
    (1 - 6x)(-1 - 11x)
    (1 - 6x) * (-1)(1 + 11x)
    -(1 - 6x)(1 + 11x)
    (6x - 1)(1 + 11x)

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