Bonjour est ce que quelqu’un pourrait m’aidez sur les exercices 86,87,88 et 89 svp? J’ai beaucoup de mal à développer et réduire Merci

Réponse :

Explications étape par étape

Bonjour

86 :

A = x - 4(3x + 2)

A = x - 4 * 3x - 4 * 2

A = x - 12x - 8

A = -11x - 8

B = (x - 2)(x - 3)

B = x * x - x * 3 - 2 * x - 2 * (-3)

B = x^2 - 3x - 2x + 6

B = x^2 - 5x + 6

C = 6 - 3(2x - 1)

C = 6 - 3 * 2x - 3 * (-1)

C = 6 - 6x + 3

C = -6x + 9

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

D = 5x * 3x + 5x * 2 - 4 * 3x - 4 * 2

D = 15x^2 + 10x - 12x - 8

D = 15x^2 - 2x - 8

87 :

A = 3(x - 1/3)

A = 3x - 1

B = 2x(x/2 + 1)

B = x^2 + 2x

C = 2/5(5x + 15)

C = 2/5 * 5x + 2/5 * 15

C = 2x + 6

88 :

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

A = 4x - (2x + 6 - x^2 - 3x)

A = 4x - 2x - 6 + x^2 + 3x

A = x^2 + 5x - 6

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

B = (3x - 6)(2x + 5)

B = 6x^2 + 15x - 12x - 30

B = 6x^2 + 3x - 30

C = 5x - (x + 1)(6x - 2)

C = 5x - (6x^2 - 2x + 6x - 2)

C = 5x - 6x^2 + 2x - 6x + 2

C = -6x^2 + x + 2

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

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

D = x^3 + 2x^2 - x^2 - 2x

D = x^3 + x^2 - 2x

89 :

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

A = 2x^3 - 4x^2 + 8x + 3x^2 - 6x + 12

A = 2x^3 - x^2 + 2x + 12

B = (x - 1)(x^2 + x + 1)

B = x^3 + x^2 + x - x^2 - x - 1

B = x^3 - 1

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

C = (2x + 6)(x - 1) - (8x + 12 - 2x^2 - 3x)

C = 2x^2 - 2x + 6x - 6 - 8x - 12 + 2x^2 + 3x

C = 4x^2 - x - 12

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

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

D = x^3 + 3x^2 - 2x^2 - 6x + x^2 + 3x - 2x - 6

D = x^3 2x^2 - 5x - 6