Bonsoir,
Développer, réduire et ordonner les expressions suivantes :
A= (3x - 6) ²
A = 9x² - 36x + 36
B= (4y + 11) ²
B = 16y² + 88y + 121
C= (8n - 9) (3n - 10)
C = 24n² - 80n - 27n + 90
C = 24n² - 107n + 90
D= (-3x + 8) (4x -5) -6 (7 - 9x)
D = - 12x² + 15x + 32x - 40 - 42 + 54x
D = - 12x² + 15x + 32x + 54x - 40 - 42
D = - 12x² + 101x - 82
E= (6x - 11) (6x - 11)
E = 36x² - 66x - 66x + 121
E = 36x² - 132x + 121
F= (2x - 3) ²- (5x - 10) (3x+4)
F = 4x² - 12x + 9 - (15x² + 20x - 30x - 40)
F = 4x² - 12x + 9 - 15x² - 20x + 30x + 40
F = 4x² - 15x² - 12x - 20x + 30x + 9 + 40
F = - 11x² - 12x + 49.
Factoriser les expressions suivantes :
G= 100x ² - 140x + 49
G = (10x - 7)²
J= 64k ² + 32k + 4
J = 4 (4k + 1)²
M= (5x + 9) ² - (3x - 4) ²
M = [(5x + 9) - (3x + 4)] [(5x + 9 + 3x - 4)]
M = (5x + 9 - 3x + 4) (8x + 5)
M = (2x + 13) (8x + 5)
H= (5x - 4) ² + (5x - 4)
H = (5x - 4) (5x - 3)
K= (2x +7)(x+21)-(10x +3) (2x+7)
K = (2x + 7) [(x + 21) - (10x + 3)]
K = (2x + 7) (x + 21 - 10x - 3)
K = (2x + 7) (- 9x + 18)
K = - 9 (x - 2) (2x + 7)
N= (3c - 14) (3c + 14)
N = déjà factorisé
I= -3 + 21y
I = 3 (7y - 1)
L= 77y - 11w
L = 11 (7y - w)
P= 1 - 64x²
P = - (8x - 1) (8x + 1)