Exercice 9 Factoriser les expressions suivantes : A= (6x + 3)(4x - 5) + (3x + 1)(6x + 3) C = (3x + 5)(3 - 2x)-(3x + 5)(2 + 5x) E = (4x + 3)(3-2x) - (4x + 3)(5 -

Bonjour,

A = (6x + 3)(4x - 5) + (3x + 1)(6x + 3)

A = (6x + 3) * (4x - 5 + 3x + 1)

A = (6x + 3) * (7x - 4)

B = (4x - 5)(2 - x) + (4x - 5)²

b =  (4x - 5)(2 - x) +  (4x - 5) (4x - 5)

B =  (4x - 5)(2 - x + 4x - 5)

B =  (4x - 5)(3x - 3)

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

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

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

C = (3x + 5)(-7x + 1)

E = (4x + 3)(3-2x) - (4x + 3)(5 - 4x)

E = (4x + 3) (3x - 2x -(5 - 4x) )

E = (4x + 3) (3x - 2x - 5 + 4x)

E = (4x + 3) (5x - 5)

Bonne journée

Réponse :

A = (6x + 3)(4x - 5) + (3x + 1)(6x + 3)

On factorise par (6x + 3) (facteur commun)

A = (6x + 3)(4x - 5 + 3x + 1)

A = (6x + 3)(7x - 4)

A = 3(2x + 1)(7x - 4)

B = (4x - 5)(2 - x) + (4x - 5)²

On factorise par (4x - 5) (facteur commun)

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

B = (4x - 5)(3x - 3)

B = 3(4x - 5)(x - 1)

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

On factorise par (3x + 5) (facteur commun)

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

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

C = (3x + 5)(-7x + 1)

D = (3x + 4)² - (3x + 4)(5x + 6)

On factorise par (3x + 4) (facteur commun)

D = (3x + 4)(3x + 4 - (5x + 6))

D = (3x + 4)(3x + 4 - 5x - 6)

D = (3x + 4)(-2x - 2)

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

E = (4x + 3)(3 - 2x) - (4x + 3)(5 - 4x)

On factorise par (4x + 3) (facteur commun)

E = (4x + 3)(3 - 2x - (5 - 4x))

E = (4x + 3)(3 - 2x - 5 + 4x)

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

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

J'espère avoir pu t'aider !