Bonjour vous pourriez m'aider à faire ces exercices s'il vous plaît on ne me répond jamais quand j'ai des questions celle ci est importante. Voici l'énoncé : Ex

Réponse :

Factoriser les expressions suivantes.

D = 36x² - 36 =a²-b² qu'on factorise (a-b)(a+b

D=(6x-6)(6x+6)

A= (-10x+6)²+(-5x + 2)(-10x + 6)

A =(-10x+6)(-10x+6-5x+2)

A = (-10x+6)(-15x+8)

A = 2(-5x+3)(-15x+8)

B = 4-(7x - 7)²=a²-b² qu'on factorise (a-b)(a+b

B =(2-7x+7)(2-7x-7)

B=(-7x+5)(-7x-5)

C = (-8x - 1)(x - 1)-(-8x - 1)

C = (-8x - 1)(x - 1)-1(-8x - 1)

C=(-8x-1)(x-1-1)

C=(-8x-1)(x-2)

E = (9x - 8) (3x - 10) + (-93-2) (9x-8) à revoir

F=-(2x - 4) (6x + 2) +4x² - 16

F=-(2x - 4) (6x + 2) +(2x-4)(2x+4)

F=(2x-4)(-6x-2+2x+4)

F=(2x-4)(-4x+2)

F = 4(x-2)(-2x+1)

Explications étape par étape

Salut !!

1) Factorisations :

D= 36x²-36

D= (6x-6)(6x+6)

D= 36(x-1)(x+1)

A= (-10x+6)²+(-5x + 2)(-10x + 6)

A= (-10x+6) [(-10x+6 )+(-5x+2)]

A= (-10x+6)(-10x+6-5x+2)

A= (-10x+6)(-15x+8)

A= -2(5x-3)(-15x+8)

C= (-8x-1)(x-1)-(-8x-1)

C= (-8x-1)[(x-1) - 1 ]

C= (-8x-1)(x-2)

E= (9x-8)(3x-10)+(-9x-2)(9x-8)

E= (9x-8) [(3x-10) + (-9x-2)]

E= (9x-8)(3x-10-9x-2)

E= (9x-8)(-6x-12)

E= -6(x+2)(9x-8)

F= (2x-4) (6x+2) + 4x²-16

F= (2x-4) (6x+2) + (2x-4)(2x+4)

F= (2x-4) [(6x+2) + (2x+4)]

F= (2x-4)(6x+2+2x+4)

F= (2x-4)(8x+6)

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

2) Factorisations

A= (3x+5) + (3x-8)(3x+5)

A= (3x+5) [ 1 + (3x-8)]

A= (3x+5)(1+3x-8)

A= (3x+5)(3x-7)

B= 100x²-81 - (10x+9)(2x-10)

B= (10x-9) (10x+9) - (10x+9)(2x-10)

B=(10x+9) [(10x-9) - (2x-10)]

B= (10x+9) (10x-9-2x+10)

B= (10x+9)(8x+1)

C= 100x² - 36

C= (10x-6) (10x+6)

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

D= 81 - (5x-1)²

D= [9+(5x-1)] [9-(5x-1)]

D= (9+5x-1) (9-5x+1)

D= (5x+8)(-5x+10)

D= -5(x-2)(5x+8)

E= (8x-3) (-7x-7)+(-7x-7)²

E= (8x-3) (-7x-7) + (-7x-7)(-7x+7)

E= (-7x-7) [(8x-3) + (-7x+7)]

E= (-7x-7)(8x-3-7x+7)

E= (-7x-7)(x-4)

F= (6x-10)(-6x+10)+(-6x+10)(x-10)

F=(-6x+10) [(6x-10) + (x-10)]

F=(-6x+10) (6x-10+x-10)

F=(-6x+10)(7x-20)

F= -2(3x-5)(7x-20)

3) Factorisations :

D= 49x²-36

D= (7x-6)(7x+6)

A=(-3x+3)²-1²

A= [(-3x+3) - 1] [(-3x+3) +1 ]

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

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

B= (9x-7)(-10x+1) + (-10x+1)(-10x+10)

B= (-10x+1)[(9x-7) + (-10x+10)]

B= (-10x+1)(9x-7-10x+10)

B= (-10x+1)(-x+3)

C= 4x²-36 - (2x+6) (-3x-9)

C= (2x-6)(2x+6) - (2x+6) (-3x-9)

C= (2x+6) [(2x-6) - (-3x-9)]

C= (2x+6)(2x-6+3x+9)

C= (2x+6)(5x+3)

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

E= (10x-7) - (10x-6)(10x-7)

E= (10x-7) [ 1 - (10x-6)]

E= (10x-7)(1-10x+6)

E= (10x-7)(-10x+7)

F= (-2x-10)² + (-2x-10) (9x-4)

F= (-2x-10)(-2x+10) + (-2x-10)(9x-4)

F= (-2x-10) [(-2x+10) + (9x-4)]

F= (-2x-10)(-2x+10+9x-4)

F= (-2x-10)(7x+6)

F= -2(x+5)(7x+6)