svpp Factorise les expressions suivantes. E = (2x + 1)² + (2x + 1) F = 3(2x - 3)² - (2x - 3) G = (x + 4) (3x + 4) - x - 4 H = (3x + 7)(2x + 1) + (x − 4)(-
Mathématiques
louna2721
Question
svpp Factorise les expressions suivantes. E = (2x + 1)² + (2x + 1) F = 3(2x - 3)² - (2x - 3) G = (x + 4) (3x + 4) - x - 4 H = (3x + 7)(2x + 1) + (x − 4)(- 2x - 1)
1 Réponse
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1. Réponse ayuda
E = (2x + 1)² + (2x + 1) = (2x+1) (2x+1) + 1 * (2x+1)
= (2x+1) (2x+1+1)
= (2x+1) (2x+2)
= 2 (2x+1) (x+1)
F = 3(2x - 3)² - (2x - 3)
= 3 * (2x-3) * (2x-3) - 1 * (2x-3)
= 2(x-3) [ 3 (2x-3) - 1]
= 2 (x-3) (6x-8)
= 2 (x-3) * 2 (3x-4)
= 4 (x-3) (3x-4)
G = (x + 4) (3x + 4) - x - 4
= (x+4) (3x+4) - (x+4) * 1
= (x+4) [(3x+4) - 1]
= (x+4) (3x+3)
= 3 (x+4) (x+1)
et
H = (3x + 7)(2x + 1) + (x − 4)(- 2x - 1)
= (3x+4) (2x+1) - (x-4) (2x+1)
= (2x+1) [(3x+4) - (x-4)]
= (2x+1) (2x+8)
= 2 (2x+1) (x+4)