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Mathii10
@Mathii10
May 2019
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Bonjour,
Pouvez-vous m'aider à développer et factoriser ceci:
f(x)= (x- 3)(2x+1)-(x-3)² et
g(x)= (x-1)²-4
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MonsieurFirdown
Verified answer
Bonjour
♧ Développer :
f(x) = (x-3)(2x+1)-(x-3)²
f(x) = 2x² - 5x - 3 - (x² - 6x + 9)
f(x) = 2x² - 5x - 3 - x² + 6x - 9
f(x) = x² + x - 12
g(x) = (x-1)²- 4
g(x) = x² - 2x + 1 - 4
g(x) = x² - 2x - 3
♧ Factoriser :
f(x) = (x-3)(2x+1)-(x-3)²
f(x) = (x-3)(2x+1-x+3)
f(x) = (x-3)(x+4)
g(x) = (x-1)²- 4
g(x) = (x-1-2)(x-1+2)
g(x) = (x-3)(x+1)
Voilà ^^
0 votes
Thanks 1
mathii10
Merci beaucoup pour ton aide ^^
MonsieurFirdown
;)
mathii10
Sauf que je ne comprends pas, puisque normalement il doit avoir un x
MonsieurFirdown
ou ?
mathii10
la deuxième ligne
MonsieurFirdown
??
mathii10
Bah, mon calcul c'est (x-3)(2x+1)-(x-3)², vous avez oublier de calculer x fois 1
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Verified answer
Bonjour♧ Développer :
f(x) = (x-3)(2x+1)-(x-3)²
f(x) = 2x² - 5x - 3 - (x² - 6x + 9)
f(x) = 2x² - 5x - 3 - x² + 6x - 9
f(x) = x² + x - 12
g(x) = (x-1)²- 4
g(x) = x² - 2x + 1 - 4
g(x) = x² - 2x - 3
♧ Factoriser :
f(x) = (x-3)(2x+1)-(x-3)²
f(x) = (x-3)(2x+1-x+3)
f(x) = (x-3)(x+4)
g(x) = (x-1)²- 4
g(x) = (x-1-2)(x-1+2)
g(x) = (x-3)(x+1)
Voilà ^^