Réponse :
HELLO
A=36x²-9 =a²-b² qu'on factorise (a-b)(a+b)
(6x-3)(6x+3)
B= 23x²+7x= x(23x+7)
C=16x²-24x+9 =a²-2ab+b² qu'on factorise (a-b)
(4x-3)²
D=(4x-2)(8x+9)+(4x-2)(3x-5)
(4x-2)(8x+9+3x-5)=
(4x-2)(11x+4)
E=25+10x+x² = a²+2ab+b²= (a+b)²
(5+x)²
F=(3x+9)²-(3x+9)(7x+3)
(3x+9)(3x+9-7x-3)=
(3x+9)(-4x+6)
G=(12x-5)²-36
(12x-5-6)(12x-5+6)=
(12x-11)(12x+1)
Explications étape par étape
Bonjour,
A = 36x² - 9
A = (6x)² - (3)²
A =(6x - 3)(6x + 3)
B = 23x² + 7x
B = x(23x + 7)
C = 16x² - 24x + 9
C = (4x - 3)(4x - 3)
D = (4x - 2)(8x + 9) + (4x - 2)(3x - 5)
D = (4x - 2)(8x + 9 + 3x - 5)
D = (4x - 2)(11x + 4) = 2(2x - 1)(11x + 4)
E = 25 + 10x + x²
E = (5 + x)(5 + x)
F = (3x + 9)(3x + 9) - (3x + 9)(7x + 3)
F = (3x + 9)(3x + 9 - 7x - 3)
F = (3x + 9)(-4x + 6)
G = (12x - 5)² - 36
G = (12x - 5 - 6)(12x - 5 + 6)
G = (12x - 11)(12x + 1)