Factoriser R(x)=(2x+1)(3x-4)-(2x+1)(2x+3) S(x)=(2x-3)(4x-5)-(4x^2-12x+9)
Mathématiques
belladu113
Question
Factoriser
R(x)=(2x+1)(3x-4)-(2x+1)(2x+3)
S(x)=(2x-3)(4x-5)-(4x^2-12x+9)
R(x)=(2x+1)(3x-4)-(2x+1)(2x+3)
S(x)=(2x-3)(4x-5)-(4x^2-12x+9)
2 Réponse
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1. Réponse Omnes
Salut,
R(x)=(2x+1)(3x-4)-(2x+1)(2x+3)
R(x) = (2x+1)([3x - 4 - (2x+3)]
R(x) = (2x+1)(3x - 4 - 2x - 3)
R(x) = (2x+1)(x - 7)
S(x)=(2x-3)(4x-5)-(4x^2-12x+9)
S(x) = (2x-3)(4x-5) - (2x-3)²
S(x) = (2x-3)(4x-5) - (2x-3)(2x-3)
S(x) = (2x-3)[(4x-5)-(2x-3)]
S(x) = (2x-3)(4x-5-2x+3)
S(x) = (2x-3)(2x-2)
---> Niveau début 1ère : S(x) = 2(2x-3)(x-1)
Bonne soirée ! -
2. Réponse nonotata
R(x)=(2x+1)(3x-4)-(2x+1)(2x+3)
r = (2x+1)(3x-4-2x-3)
r = (2x+1)(x-7)
S(x)=(2x-3)(4x-5)-(4x^2-12x+9)
s = (2x-3)(4x-5) -(2x-3)²
s =(2x-3)(4x-5-2x+3)
s =(2x-3)(2x-2)