EXERCICE 3. Factoriser, si possible. A = 81x2 – 36x + 4 B = 9 - 6x + x2 C = 64x2 – 8x + 4 D = 36x2 – 12x + 1 E = 16x2 + 24x - 9 F = 9x2 – 12x + 4 G = 49 - 56x +
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Question
EXERCICE 3. Factoriser, si possible.
A = 81x2 – 36x + 4
B = 9 - 6x + x2
C = 64x2 – 8x + 4
D = 36x2 – 12x + 1
E = 16x2 + 24x - 9
F = 9x2 – 12x + 4
G = 49 - 56x + 16x2
H = x2 – 8x + 16
Merci d’avance !
A = 81x2 – 36x + 4
B = 9 - 6x + x2
C = 64x2 – 8x + 4
D = 36x2 – 12x + 1
E = 16x2 + 24x - 9
F = 9x2 – 12x + 4
G = 49 - 56x + 16x2
H = x2 – 8x + 16
Merci d’avance !
1 Réponse
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1. Réponse ayuda
A = 81x2 – 36x + 4
= (9x)² - 2*9x*2 + 2²
= a² - 2*a*b + b²
donc
= (9x - 2)²
B = 9 - 6x + x2
= x² - 6x + 9
= x² - 2*x*3 + 3²
= (x - 3)²
même raisonnement pour le reste.
penser à a² - 2ab + b ² = (a-b)²