bonsoir paris , je n'arrive pas l'exercice 2 et 3 aider moi svp au plus vite merci

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)