Mathématiques

Question

factoriser
52par etapes
A:x²-4+(x-2)(x+1)
B:3x²-12x+12
C:x²+3x+(x+3)²*
D:(x+1)(x+2)-(3x+6)

1 Réponse

  • x^2-4=a^2-b^2=(a-b)(a+b)

    A=(x-2)(x+2)+(x-2)(x+1)
    A=(x-2)[x+2+x+1]
    A=(x-2)(2x+3)

    B=3(x^2-4x+4)
    x^2-4x+4=a^2-2*a*b+b^2
    B=3(x-2)^2

    C=x(x+3)+(x+3)^2
    C=(x+3)(x+x+3)
    C=(x+3)(2x+3)

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

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