Factoriser F(x) = (x-2)(x+3)+x^2-4
Mathématiques
coralinewk
Question
Factoriser
F(x) = (x-2)(x+3)+x^2-4
F(x) = (x-2)(x+3)+x^2-4
2 Réponse
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1. Réponse nopyup
f(x)=(x-2)(x+3)+x^2-2^2
=(x-2)(x+3)+(x+2)(x-2)
=(x-2)(x+3+x+2)
=(x-2)(2x+5) -
2. Réponse bernardditbidou
x²-4=(x+2)(x-2)d'où:(x-2)(x+3)+(x-2)(x+2)=(x+2)[(x+3)+(x+2)]=(x+2)(éx+5)