Exercice 3 Développe les expressions suivantes, puis réduis les si nécessaire : A = (x+2)(x+8) B=(2x-4) (3x+1) C=(x-3)(x-2) D= (2x - 5)(x-1) E=(x - 5)(x-7) F = (3x²-4) (2x+5) G=(x-5)(x-3) H = (3x²-2)(-2x² + x)
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Réponse :
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Explications étape par étape :
A = (x+2)(x+8)
A = x² +8x + 2x +16
A = x² +10x +16
B = (2x-4) (3x+1)
B = 6x² +2x -12x -4
B = 6x² -10x -4
C = (x-3)(x-2)
C = x² -2x -3x +6
C = x² -5x +6
D= (2x - 5)(x-1)
D = 2x² -2x -5x +5
D = 2x² -7x +5
E = (x - 5)(x-7)
E = x² -7x -5x +35
E = x² -12x +35
F = (3x²-4) (2x+5)
F = 6x³ +15x² -8x -20
G = (x-5)(x-3)
G = x² -3x -5x +15
G = x² -8x +15
H = (3x²-2)(-2x² + x)
H = -6x⁴ +3x³ +4x² -2x