Bonjour, j’ai besoin d’aide vraiment sur cet exercice j’y arrive jamais merci de votre d’aide d’avance ^^

Factoriser les expressions :
A= 3x² + 6x
B = 36- 6x
C=7x + 5x²
D= 3x - x
Factoriser les expressions :
A = (x – 3)(x - 2)+5(x – 3)
B= 3(5–9x)–(5–9x)(1–3x)
C = (2x – 5)(7x+5)-(2x – 5)²
Factoriser les expressions :
A=4(x - 2)-(x-2)(3x +1)
B=5–9x+(5-9x)(1–3x)
C = (3x – 7)²-(1-2x)(3x – 7)


Sagot :

Réponse :

Explications étape par étape :

A= 3x² + 6x  = 3x(x + 2)

B = 36- 6x  = 6(6 - x)

C = 7x + 5x² = x( 7 + 5x)

D = 3x - x =  x(3 -1)

A = (x – 3)(x - 2)+5(x – 3) = (x – 3)(x - 2 + 5) = (x – 3)(x + 3)

B= 3(5–9x)–(5–9x)(1–3x) = (5–9x)(3 - 1 + 3x) = (5–9x)(3x + 2)

C = (2x – 5)(7x+5)-(2x – 5)² = (2x – 5)(7x + 5 - 2x+ 5) = (2x – 5)(5x  + 10)

A = 4(x - 2)-(x - 2)(3x +1) = (x - 2)(4 - 3x -1) = (x - 2)(3 - 3x)

B = 5–9x+(5-9x)(1–3x) = (5-9x)(1 + 1 - 3x) =  (5-9x)(2 - 3x)

C = (3x – 7)²-(1-2x)(3x – 7) = (3x – 7)(3x – 7 - 1 + 2x) = (3x – 7)(6x –8)

SAMYYY
A = 3x² + 6x
A = 3 * x * x + 2 * 3x
A = 3x * x + 3x * 2
A = 3x * (x + 2)
A = 3x (x + 2)

B = 36 - 6x
B = 6 * 6 - 6 * x
B = 6 * (6 - x)
B = 6 (6 - x)

C = 7x + 5x²
C = 7 * x + 5 * x * x
C = 7 * x + 5x * x
C = x * 7 + x * 5x
C = x * (7 + 5x)
C = x (7 + 5x)

D = 3x - x
D = x * 3 - x * 1
D = x * (3 - 1)
D = x (3 - 1)


A = (x - 3)(x - 2) + 5 (x - 3)
A = (x - 3) * [(x - 2) + 5]
A = (x - 3) * (x - 2 + 5)
A = (x - 3) * (5 + x - 2)
A = (x - 3) * (5 - 2 + x)
A = (x - 3) * (3 + x)
A = (x - 3) (3 + x)

B = 3 (5 - 9x) - (5 - 9x)(1 - 3x)
B = (5 - 9x) * [3 - (1 - 3x)]
B = (5 - 9x) * [3 - (- 3x + 1)]
B = (5 - 9x) * [3 - (- 3x) + 1]
B = (5 - 9x) * (3 + 3x + 1)
B = (5 - 9x) * (3 + 1 + 3x)
B = (5 - 9x) * (4 + 3x)
B = (5 - 9x) (4 + 3x)

C = (2x - 5) (7x + 5) - (2x - 5)²
C = (2x - 5) (7x + 5) - (2x - 5) (2x - 5)
C = (2x - 5) [(7x + 5) - (2x - 5)]
C = (2x - 5) (7x + 5 - 2x - 5)
C = (2x - 5) (7x - 2x + 5 - 5)
C = (2x - 5) (5x + 5 - 5)
C = (2x - 5) (5x + 0)