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Aider moi svp

Exercice 2 : Factoriser les expressions suivantes :
A = (x + 3) x (x + 5) – 3(x + 5)
B = (2x + 3) x (x – 4) + (3x – 5) x (x – 4)
C = (3x - 1) (2 - x) - (2x + 5) x (3x - 1)
D = (2x - 5)2 + (2x - 5) x (x + 2)
E = (4 - 3x) x (2 - x)-(2 - x)2
F = (x + 1) x (x + 7) - (x + 7)
G = (x + 8)2 - (x - 8) x (x + 8)
=

Sagot :

Réponse:

Bonsoir

Explications étape par étape:

A = (x + 3) (x + 5) – 3(x + 5)

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

A= x (x+5)

B = (2x + 3) (x – 4) + (3x – 5)(x – 4)

B= (x-4) [(2x+3) +(3x - 5)]

B= (x-4)(5x-2)

C = (3x - 1) (2 - x) - (2x + 5)(3x - 1)

C = (3x -1) [( 2 - x) - (2x +5)]

C = (3x -1)(- 3x - 3)

C = 3 (3x -1)( -x -1)

D = (2x - 5)^2 + (2x - 5) (x + 2)

D = (2x - 5) [(2x - 5) +(x + 2)]

D = (2x - 5)( 3x - 3)

D = 3 (2x -5)(x - 1)

E = (4 - 3x) (2 - x) - (2 - x)^2

E = (2 - x) [( 4 - 3x) - ( 2 - x)]

E = (2 - x)( - 2x + 2)

E = 2 (2 - x)( -x + 1)

F = (x + 1) (x + 7) - (x + 7)

F = (x + 7) [( x + 1) - 1]

F = x (x + 7)

G = (x + 8)^2 - (x - 8)(x + 8)

G = (x + 8)[( x+8) - (x - 8)]

G = 16 ( x +8)

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