Réponse :
Explications étape par étape
Bonsoir
Factoriser :
Exercice 2 :
A = 35x - 49y
A = 7 * 5x - 7 * 7y
A = 7(5x - 7y)
B = 5xy - 20x
B = 5x * y - 5x * 4
B = 5x(y - 4)
C = 17x^2y + 13xy^2
C = xy * 17x + xy * 13y
C = xy(17x + 13y)
D = (x + 3)(4x - 1) - (x + 8)(4x - 1)
D = (4x - 1)(x + 3 - x - 8)
D = (4x - 1)(-5)
D = -5(4x - 1)
E = (x - 4)^2 + (x - 4)(2x + 7)
E = (x - 4)(x - 4 + 2x + 7)
E = (x - 4)(3x + 3)
E = (x - 4) * 3(x + 1)
E = 3(x - 4)(x + 1)
Exercice 3 :
A = x^2 + 24x + 144
A = x^2 + 2 * x * 12 + 12^2
A = (x + 12)^2
B = 100x^2 - 160x + 64
B = (10x)^2 - 2 * 10x * 8 + 8^2
B = (10x - 8)^2
C = 81x^2 - 25
C = (9x)^2 - 5^2
C = (9x - 5)(9x + 5)
D = 16 - (x + 6)^2
D = 4^2 - (x + 6)^2
D = (4 - x - 6)(4 + x + 6)
D = (-x - 2)(x + 10)
E = (3x + 5)^2 - (x - 2)^2
E = (3x + 5 - x + 2)(3x + 5 + x - 2)
E = (2x + 7)(4x + 3)
