Mathématiques

Question

C'EST UN DEVOIR MAISON ASSUREZ AIDEZ MOI PLEAAASE !!

Factoriser les expressions suivantes :

A = 4x+8
B = 4x-x²
C = 3x+x(x-1)
D = x(x-1)+(x-1)(x+3)
E = 4x²-25
F = 4x²-20x+25
G = (x-3)(x+1)+2x²-18
H = (x-3)(2x+2)+x²-1

1 Réponse

  • A = 4x+8  = 4(x+2)

    B = 4x-x² = x(4-x)

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

    D = x(x-1)+(x-1)(x+3) =(x-1)(x+x+3) =(x-1)(2x+3)

    E = 4x²-25 = 4x²-5² =(2x-5)(2x+5)

    F = 4x²-20x+25 = (2x-5)²

    G = (x-3)(x+1)+2x²-18 =(x-3)(x+1) +2(x²-9) =(x-3)(x+1) +2(x-3)(x+3)
    = (x-3)(x+1+2x+6) =(x-3)(3x+7)

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

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