Mathématiques

Question

bonjour pouver vous maider svp
A:5(x+3)++2(3x+4)-(5x-3)
B:3x(2+5x)-4(1-2x)+(3x²-5x+x)
C:(4x-1)(3x+5)-(x-7)
D:(x+5)(2x-5)-(3x²-7x+5)
E:(x-2x)(2x-x)
f:1(3-x²)+4(x-1)(5-2x)

1 Réponse

  • A: 5 (x + 3) + 2 (3x + 4) - (5x - 3)
    = 5x + 15 + 6x + 8 - 5x + 3
    = 5x + 6x - 5x + 15 + 8 + 3
    = 6x + 26

    B: 3x (2 + 5x) - 4 (1 - 2x) + (3x² - 5x + x)
    = 6x + 15x² - 4 - 8x + 3x² - 5x + x
    = 15x² + 3x² + 6x + x - 8x - 5x - 4
    = 18x² - x - 4

    C: (4x - 1) (3x + 5) - (x - 7)
    = 12x² + 20x - 3x - 5 - x + 7
    = 12x² + 20x - 3x - x - 5 + 7
    = 12x² + 16x + 2

    D: (x + 5) (2x - 5) - (3x² - 7x + 5)
    = 2x² - 5x + 10x - 25 - 3x² + 7x - 5
    = 2x² - 3x² - 5x + 10x + 7x - 25 - 5
    = - x² + 12x - 20

    E: (x - 2x) (2x - x)
    = 2x² - x² - 4x² + 2x²
    = 2x² + 2x² - x² - 4x²
    = 4x² - 4x² - x²
    = - x²

    f: 1 (3 - x²) + 4 (x - 1) (5 - 2x)

    = 3 - x² + 4 (5x - 2x² - 5 + 2x)
    = 3 - x² + 20x - 8x² + 20 + 8x
    = - x² - 8x² + 20x + 8x + 3 + 20
    = - 7x² + 28x + 23

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