Ex nº1 Factoriser au maximum les expressions suivantes : A=5x-xy B=a2+3ab C=12a-12ab D=60x3 -24x3 +36x E = 7x2-28x+ + 70x3 G=(x-3)+2x(x-3) H=(5x+2y)(5+x)+2(5x +

Réponse:

Bonjour

A=x(5-y)

B=a(2+3b)

C=a(12-12b)=2a(6-6b)=3a(4-4b)

D=3(60-24+12x)=12(5-2+x)

E=(x-4+10x²)7x

G=3(x-3)

H=(7+x)(5x+2y)

F=(xy+3)(2+x)

Bonsoir ! ;)

Réponse :

Exercice 1 :

A = 5x - xy

⇔ A = 5 * x - x * y

⇒ A = x (5 - y)

B = a² + 3ab

⇔ B = a * a + 3 * a * b

⇒ B = a (a + 3b)

C = 12a - 12ab

⇔ C = 12a * 1 - 12a * b

⇒ C = 12a (1 - b)

D = 60x³ - 24x³ + 36x

⇔ D = 6x * 10 * x * x - 6x * 4 * x * x + 6x * 6

⇒ D = 6x (10x² - 4x² + 6)

E = 7x² - 28x + 70x³

⇔ E = 7x * x  - 7x * 4 + 7x * 10 * x * x

⇒ E = 7x (x - 4 + 10x²)

G = (x - 3) + 2x (x - 3)

⇔ G = (x - 3) * 1 + 2x (x - 3)

⇒ G = (x - 3) (1 + 2x)

H = (5x + 2y) (5 + x) + 2 (5x + 2y)

⇒ H = (5x + 2y) (5 + x + 2)

⇒ H = (5x + 2y) (7 + x)

F = 3 (2 + x) + (2 + x) xy

⇒ F = (2 + x) (3 + xy)