Mathématiques

Question

Bonjour pouvez vous m'aider a les résoudre s'il vous plait.
-Factoriser A = (2x + 5)(3x - 2) + (2x + 5)(7x + 6) Factoriser A = (2x + 5)(3x - 2) + (2x + 5)(7x + 6)
-Factoriser B = x²- 6x + 9
-Factoriser C = 36x² - 25
-Factoriser D = (2x - 3)(2x + 3) - (4x - 7)(2x - 3)
-Factoriser E = (2x + 5)(x + 3) + (x + 3)(5x + 3)
-Factoriser F = 4x² - 49
-Factoriser G = x² + 20x + 100
-Factoriser H = (x + 3)² - 16
Merci

1 Réponse

  • Bonjour

    Factoriser A = (2x + 5)(3x - 2) + (2x + 5)(7x + 6) Factoriser A = (2x + 5)(3x - 2) + (2x + 5)(7x + 6)

    A = (2x + 5)(3x - 2 + 7x + 6)

    A = (2x + 5)(10x + 4)

    A = (2x + 5) * 2(5x + 2)

    A = 2(2x + 5)(5x + 2)

    -Factoriser B = x²- 6x + 9

    B = x^2 - 2 * x * 3 + 3^2

    B = (x - 3)^2

    -Factoriser C = 36x² - 25

    C = (6x)^2 - 5^2

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

    -Factoriser D = (2x - 3)(2x + 3) - (4x - 7)(2x - 3)

    D = (2x - 3)(2x + 3 - 4x + 7)

    D = (2x - 3)(-2x + 10)

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

    D = 2(2x - 3)(-x + 5)

    -Factoriser E = (2x + 5)(x + 3) + (x + 3)(5x + 3)

    E = (x + 3)(2x + 5 + 5x + 3)

    E = (x + 3)(7x + 8)

    -Factoriser F = 4x² - 49

    F = (2x)^2 - 7^2

    F = (2x - 7)(2x + 7)

    -Factoriser G = x² + 20x + 100

    G = x^2 + 2 * x * 10 + 10^2

    G = (x + 10)^2

    -Factoriser H = (x + 3)² - 16

    H = (x + 3)^2 - 4^2

    H = (x + 3 - 4)(x + 3 + 4)

    H = (x - 1)(x + 7)

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