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Sila91
@Sila91
May 2019
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Bonjour
Exercice 82 page 123 ( Au brevet )
Soit D = (2x + 3)² + (2x + 3)(7x - 2)
a. Développer, puis réduire D
b. Factoriser D.
c. Calculer D pour x = -4
d.Développer l'expression trouvée en b.
Comparer au résultat de la question a.
Merci d'avance
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swnn
Verified answer
A. D = 4x²+12x+9+14x²-4x+21x-6
D = 18x²+29x+3
b. D = (2x+3)(2x+3)+(2x+3)(7x-2)
D = (2x+3)[(2x+3)+(7x-2)]
D = (2x+3)[2x+3+7x-2]
D = (2x+3)(2x+3+7x-2)
D = (2x+3)(9x+1)
c. x=-4
D = (2*(-4)+3)(9*(-4)+1)
D = (-8+3)(-36+1)
D = -5*(-35) = 5*35 = 175
d. D = (2x+3)(9x+1)
D = 18x²+2x+27x+3
D = 18x²+29x+3 → résultat cohérent avec ce que l’on a trouvé au a.
2 votes
Thanks 1
Sila91
Merci bcp
swnn
:)
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Verified answer
A. D = 4x²+12x+9+14x²-4x+21x-6D = 18x²+29x+3
b. D = (2x+3)(2x+3)+(2x+3)(7x-2)
D = (2x+3)[(2x+3)+(7x-2)]
D = (2x+3)[2x+3+7x-2]
D = (2x+3)(2x+3+7x-2)
D = (2x+3)(9x+1)
c. x=-4
D = (2*(-4)+3)(9*(-4)+1)
D = (-8+3)(-36+1)
D = -5*(-35) = 5*35 = 175
d. D = (2x+3)(9x+1)
D = 18x²+2x+27x+3
D = 18x²+29x+3 → résultat cohérent avec ce que l’on a trouvé au a.