Coucou vous pouvez m'aider s'il vous plait? Je dois factoriser: E(x)=81x²-18-3 F(x)=x(x-2)²-4x(x+1)² G(x)=x(x-1)²-9x(3x+2)² H(x)=(x+3)³-4x-12 Merci

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)