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Flavievillayes
@Flavievillayes
May 2019
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Bonsoir pouvez - vous m'aider pour cet exercice SVP merci d'avance ; )
On considère l'équation E = ( 3x - 1 )² - ( 3x - 1 ) ( 2x + 3 )
1) Développer et réduire E .
2) Factoriser E .
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Lou974
Bonsoir,
1) E = (3x-1)² - (3x-1)(2x+3)
E = (3x)² - 2*3x*1 + 1² - (3x*2x + 3x*3 -1*2x - 1*3)
E = 9x² - 6x + 1 - (6x² + 9x - 2x - 3)
E = 9x² - 6x + 1 - (6x² + 7x - 3)
E = 9x² - 6x + 1 - 6x² - 7x + 3
E = 9x² - 6x² - 6x - 7x + 1 + 3
E = 3x² - 13x + 4
2) E = (3x-1)² - (3x-1)(2x+3)
E =
(3x-1)
(3x-1) -
(3x-1)
(2x+3)
E =
(3x-1)
[(3x-1) - (2x+3)]
E =
(3x-1)
[3x - 1 - 2x - 3]
E =
(3x-1)
[3x - 2x - 1 - 3]
E = (3x-1) (x-4)
Voilà.
2 votes
Thanks 2
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Lista de comentários
1) E = (3x-1)² - (3x-1)(2x+3)
E = (3x)² - 2*3x*1 + 1² - (3x*2x + 3x*3 -1*2x - 1*3)
E = 9x² - 6x + 1 - (6x² + 9x - 2x - 3)
E = 9x² - 6x + 1 - (6x² + 7x - 3)
E = 9x² - 6x + 1 - 6x² - 7x + 3
E = 9x² - 6x² - 6x - 7x + 1 + 3
E = 3x² - 13x + 4
2) E = (3x-1)² - (3x-1)(2x+3)
E = (3x-1)(3x-1) - (3x-1)(2x+3)
E = (3x-1) [(3x-1) - (2x+3)]
E = (3x-1) [3x - 1 - 2x - 3]
E = (3x-1) [3x - 2x - 1 - 3]
E = (3x-1) (x-4)
Voilà.