Mathématiques

Question

W= (x + 2)² - 49 (5 - x)².
X= 2 (5x - 1) (3x + 2) + 25x² - 1.
Y= 2 (4x² - 4x + 1) + (3 - 6x) (x - 5) - 4x² + 1.

1 Réponse

  • W=(x+2)^2-49(5-x)^2
    W=(x+2-7(5-x))(x+2+7(5-x))
    W=(x+2-35+7x)(x+2+35-7x)
    W=(8x-33)(37-6x)

    X=2(5x-1)(3x+2)+25x^2-1
    X=2(5x-1)(3x+2)+(5x-1)(5x+1)
    X=(5x-1)[2(3x+2)+5x+1]
    X=(5x-1)(6x+4+5x+1)
    X=(5x-1)(11x+5)

    Y=2(4x^2-4x+1)+(3-6x)(x-5)-4x^2+1
    Y=2(2x-1)^2+3(1-2x)+1-4x^2
    Y=2(2x-1)^2-3(2x-1)+(1-2x)(1+2x)
    Y=2(2x-1)^2-3(2x-1)-(2x-1)(1+2x)
    Y=(2x-1)[2(2x-1)-3-1-2x]
    Y=(2x-1)(4x-2-4-2x)
    Y=(2x-1)(2x-6)
    Y=2(2x-1)(x-3)

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