Réponse :Bonjour,

Exercice 1

1. A(x) = (20x - 32x -35 + 56x) - (16x² - 64x + 64)

= 20x - 32x - 35 + 56x + 16x² + 64x - 64

= 16x² + 108x - 99

B (x) = 49x - 64 - (4x - 7x² - 20 + 35x) = 49x - 64 - 4x + 7x² + 20 - 35x = 7x² - 10x - 44

C(x) = (4x+5-2x-8)(4x+5+2x+8) = (2x- 3)(6x + 13)= (12x² + 26x - 18x - 39) = 12x² + 8x - 39

D(x) = 4/5x * 4/5x +4/5x*2 + 2* 4/5x + 2*2 + 1/10x * 1/10x - 1/10x * 4 - 4 * 10/x + 16

= 16/25x² + 16/5x + 4 + 1/100x - 8/10x + 16 = 16/25x² + 16/5x + 1/100x - 8/10x + 20

2.

E(x) = (5x - 4) (5x-4 - 7+ 8x) = (5x - 4) (13x -11)

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

G(x) = a² - b² = (a-b)(a+b) avec a = 5 et b = 10 G(x) = (5x - 10) (5x+10)

H(x) = a² - b² = (a-b)(a+b) avec a = 7 et b = (5x+6) H(x) = (7-5x - 6) (7+5x+6) = (-5x +1)(5x + 13)