Exercice 5: Factoriser les expressions suivantes U = 2 x + 5 x3 S = 15 x + 45 T = - 6x + 24 = - - V = 4 x2 + 8 x W = (x + 3) (x + 5) - (x + 5) = X = (2 x + 3) (
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Question
Exercice 5: Factoriser les expressions suivantes U = 2 x + 5 x3 S = 15 x + 45 T = - 6x + 24 = - - V = 4 x2 + 8 x W = (x + 3) (x + 5) - (x + 5) = X = (2 x + 3) (x - 4) + 3 x (x - 4) = Y = (3x - 1) (x - 2) - (2 x + 5) (3x - 1) - Z = X (2 x + 3) - 7 (2 x + 3)2.
merci d avance <3
merci d avance <3
1 Réponse
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1. Réponse Anonyme
Bonjour,
2x + 5x³ = x(2+5x²)
15x + 45 = 15(x+3)
-6x + 24 = -6(x-4)
4x² + 8x = 4x(x+2)
(x+3)(x+5)-(x+5) = (x+3)(x+5)-1(x+5) = (x+5)(x+3-1) = (x+5)(x+2)
(2x+3)(x-4)+3x(x-4) = (x-4)(2x+3+3x) = (x-4)(5x+3)
(3x-1)(x-2)-(2x+5)(3x-1) = (3x-1)((x-2)-(2x+5)) = (3x-1)(-x-7)
x(2x+3)-7(2x+3)² = x(2x+3)-7(2x+3)(2x+3)
= (2x+3)(x-7(2x+3))
= (2x+3)(-13x-21)