Bonjour est-ce que quelqu’un peut m’aider pour mon exercice svp Factoriser: B = (3x + 1)(x - 2) - (x - 2)(2x + 4) C = x^2 - 100 D = -5x + 4x^2 E = 36x^2 - 25 G

Réponse:

B = (x-2) (x-3)

C= (x-10)(x+10)

D= x(-5+4x)

E= (6x-5)(6x+5)

G= (3x+2)^2

H= (x-9)(3x-1)

Explications étape par étape:

B = (3x + 1)(x - 2) - (x - 2)(2x + 4)

= (x-2) [(3x+1)-(2x+4)]

= (x-2) (3x+1-2x-4)

= (x-2) (x-3)

C = x^2 - 100

= (x-10)(x+10)

D = -5x + 4x^2

= x(-5+4x)

E = 36x^2 - 25

= (6x-5)(6x+5)

G = 9x^2 + 12x + 4

= (3x+2)^2

H = (2x - 5)^2 - (4 + x)^2

= [(2x-5)-(4+x)] [(2x-5)+(4+x)]

= (2x-5-4-x)(2x-5+4+x)

= (x-9)(3x-1)