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.
