Bonjour,
Développer et réduire :
A=3(6x-2)
A = 18x - 6
B=x(2x+3)-3(5x+4)
B = 2x² + 3x - 15x - 12
B = 2x² - 12x - 12
C= (2x+1) (3x+5)
C = 6x² + 10x + 3x + 5
C = 6x² + 13x + 5
D= (4-6x) (3x-4)
D = 12x - 16 - 18x² + 24x
D = - 18x² + 12x + 24x - 16
D = - 18x² + 36x - 16
E= (4 x+3 (3x+2)+(4x+3)(8x-2)
E = 12x² + 8x + 9x + 6 + 32x² - 16x + 24x - 6
E = 12x² + 32x² + 8x + 9x + 24x - 16x + 6 - 6
E = 44x² + 25x
F= (x+8)² -(x+8)(-5x+18)
F = x² + 16x + 64 - (- 5x² + 18x - 40x + 144)
F = x² + 16x + 64 + 5x² - 18x + 40x - 144
F = x² + 5x² + 16x + 40x - 18x + 64 - 144
F = 6x² + 38x - 80
G= (7y+2)(4y-5)-(7y+2)(14y-10)
G = 28y² - 35y + 8y - 10 - (98y - 70y + 28y - 20)
G = 28y² - 35y + 8y - 10 - 98y + 70y - 28y + 20
G = 28y² - 35y - 98y - 28y + 8y + 70y - 10 + 20
G = 28y² - 83y + 10
Factoriser après avoir repéré le facteur commun :
A=5,2y+5,2x
A = 5,2 (y + x)
B= 3x+3 * 18
B = 3 (x + 18)
C= 18(x+5)+2(x+5)
C = 20 (x + 5)
D=(4x+3)(3x+2)+(4x+3)(8x-2)
D = (4x + 3) (3x + 2 + 8x - 2)
D = (4x + 3) (11x)
D = 11x (4x + 3)
E=(7y+2)(4y-5)-(7y+2)(14y-10)
E = (7y + 2) [(14y - 10) - (4y - 5)]
E = (7y + 2) (14y - 10 - 4y + 5)
E = (7y + 2) (10y - 5)
E = - 5 (2y - 1) (7y + 2)
F=(x+8)² -(x+8)(-5x+18)
F = (x + 8) [(x + 8) - (- 5x + 18)]
F = (x + 8) (x + 8 + 5x - 18)
F = (x + 8) (6x - 10)
F = 2 (x + 8) (3x - 5)
