Bonjour il faut factoriser les expressions suivantes en montrant les étapes intermédiaires merci d'avance​

Bonjour,

Factoriser les expressions:

F = (2x + 5)(3x - 7) - (2x + 5)(5x - 3)

F = (2x + 5)(3x - 7 - (5x - 3))

F = (2x + 5)(3x - 7 - 5x + 3)

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

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

G = (5x + 7)(x - 1) + (x + 1)(3x - 4)

G = (x - 1)(5x + 7 + (3x - 4))

G = (x - 1)(5x + 7 + 3x - 4)

G = (x - 1)(8x + 3)

H = (3x - 2)(x - 5) + (x - 5)²

H = (3x - 2)(x - 5) + (x - 5)(x - 5)

H = (x - 5)(3x - 2 + (x - 5))

H = (x - 5)(3x - 2 + x - 5)

H = (x - 5)(4x - 7)

I = (x + 7)(5x + 2) - 3(5x + 2)²

I = (x + 7)(5x + 2) - 3(5x + 2)(5x + 2)

I = (x + 7)(5x + 2) - (15x + 6)(5x + 2)

I = (5x + 2)(x + 7 - (15x + 6))

I = (5x + 2)(x + 7 - 15x - 6)

I = (5x + 2)(-14x + 1)

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

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

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

J = (3x - 4)*6

J = 6(3x - 4)

Vous utilisez la règle du facteur Commun:

a * b + a * c = a(b + c)

Bonne journée.