DM 1 Exercice 2 Factoriser les expressions suivantes : E = 9x² + 12x + 4 F = (8-2x)²-(4x - 3)(8-2x) G = (x + 3)²-(2x + 4)² H = (x-4)² - 36
Mathématiques
milo2915
Question
DM 1 Exercice 2 Factoriser les expressions suivantes : E = 9x² + 12x + 4 F = (8-2x)²-(4x - 3)(8-2x) G = (x + 3)²-(2x + 4)² H = (x-4)² - 36
1 Réponse
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1. Réponse inequation
Bonjour,
Factoriser les expressions suivantes :
E = 9x² + 12x + 4= (3x+2)²
F = (8-2x)²-(4x - 3)(8-2x)= (8-2x)(8-2x-4x+3)= (8-2x)(11-6x)= 2(4-x)(6x-11)
= 2(x-4)(6x-11)
G = (x + 3)²-(2x + 4)² = (x+3-2x-4)(x+3+2x+4)= (-x-1)(3x+7)= - (x+1)(3x+7)
H = (x-4)² - 36= (x-4)²-6²= (x-4-6)(x-4+6)= (x-10)(x+2)