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ToSHiRuMa
@ToSHiRuMa
May 2019
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Bonjour. J'ai besoin d'aide pour factoriser cette expression en détaillant les calculs(je ne trouve pas de facteur commun):
A=9x²+2(3x+4)-16
Merci d'avance.
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slyz007
Verified answer
Bonjour,
Il faut remarquer que 9x²-16 est une identité remarquable de la forme a²-b².
Donc 9x²-16=(3x)²-4²=(3x+4)(3x-4)
A=9x²+2(3x+4)-16
A=(3x+4)(3x-4)+2(3x+4)
A=(3x+4)[(3x-4)+2)]
A=(3x+4)(3x-2)
2 votes
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Lista de comentários
Verified answer
Bonjour,Il faut remarquer que 9x²-16 est une identité remarquable de la forme a²-b².
Donc 9x²-16=(3x)²-4²=(3x+4)(3x-4)
A=9x²+2(3x+4)-16
A=(3x+4)(3x-4)+2(3x+4)
A=(3x+4)[(3x-4)+2)]
A=(3x+4)(3x-2)