Mathématiques

Question

Pour demain
Dėvelopper et rėduire les expressions suivantes
A(x)=(2x+1)(x-3)-4x+1
B(x)=(4x-5)²
C(x)=2(x-1)(x+3)
D(x)=(-2x+1)(x+3)-2(x-5)
E(x)=3(4x+3)(x+1)+(x-1)²
F(x)=(3x-1)(2x+5)-3(x+1)(x-2)

2 Réponse

  • A(x)=(2x+1)(x-3)-4x+1
    = 2x²-6x+x-3-4x+1
    = 2x²-9x-2

    B(x)=(4x-5)²
    = 16x²-40x+25

    C(x)=2(x-1)(x+3)
    = 2(x²+3x-x-3) = 2x²+4x-6

    D(x)=(-2x+1)(x+3)-2(x-5)
    = -2x²-6x+x+3-2x+10
    = -2x²-7x+13

    E(x)=3(4x+3)(x+1)+(x-1)²
    = 3(4x²+4x+3x+3) + (x²-2x+1)
    = 12x²+21x+9+x²-2x+1
    = 13x²+19x+10

    F(x)=(3x-1)(2x+5)-3(x+1)(x-2)
    = (6x²+15x-2x-5) - 3(x²-2x+x-2)
    = (6x²+13x-5) - 3(x²-x-2)
    = 6x²+13x-5-3x²+3x+6
    = 3x²+16x+1

  • Développer et réduire les expressions suivantes :

    A(x)=(2x+1)(x-3)-4x+1
    A(x) = 2x² - 6x + 3x - 3 - 4x + 1
    A(x) = 2x² - 7x - 2

    B(x)=(4x-5)²
    B(x) = 16x² - 40x + 25

    C(x)=2(x-1)(x+3)
    C(x) = 2(x² + 3x - x - 3)
    C(x) = 2x² + 6x - 2x - 6
    C(x) = 2x² + 4x - 6

    D(x)=(-2x+1)(x+3)-2(x-5)
    D(x) = - 2x² - 6x + x + 3 - 2x + 10
    D(x) = - 2x² - 7x + 13

    E(x)=3(4x+3)(x+1)+(x-1)²
    E(x) = 3 (4x² + 4x + 3x + 3) + x² - 2x + 1
    E(x) = 12x² + 12x + 9x + 9 + x² - 2x + 1
    E(x) = 13x² + 19x + 10

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

    F(x) = 6x² + 15x - 2x - 5 - 3(x² - 2x + x - 2)
    F(x) = 6x² + 15x - 2x - 5 - 3x² + 6x - 5x + 10
    F(x) = 3x² + 14x + 5

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