Réponse :
Explications étape par étape
Bonjour
factoriser:
E(x)=81x²-18-3
E = 81x^2 - 21
E = 3(27x^2 - 7)
F(x)=x(x-2)²-4x(x+1)²
F = x[(x - 2)^2 - 2^2(x + 1)^2]
F = x(x - 2 - 2(x + 1))(x - 2 + 2(x + 1))
F = x(x - 2 - 2x - 2)(x - 2 + 2x + 2)
F = x(-x - 4)(3x)
F = 3x^2(-x - 4)
G(x)=x(x-1)²-9x(3x+2)²
G = x[(x - 1)^2 - 3^2(3x + 2)^2]
G = x(x - 1 - 3(3x + 2))(x - 1 + 3(3x + 2))
G = x(x - 1 - 9x - 6)(x - 1 + 9x + 6)
G = x(-8x - 7)(10x + 5)
G = x(-8x - 7) * 5(2x + 1)
G = 5x(-8x - 7)(2x + 1)
H(x)=(x+3)³-4x-12
H(x) = (x + 3)^3 - 4(x + 3)
H(x) = (x + 3)[(x + 3)^2 - 4]
H(x) = (x + 3)(x + 3 - 2)(x + 3 + 2)
H = (x + 3)(x + 1)(x + 5)
