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XPoisson
@XPoisson
April 2019
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Bonjour, pourriez-vous m'aider à factoriser cette expression : (3x - 5)² - 4x²
Merci d'avance !
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Soleil12
A = (3x-5)² - 4x²
A = (3x - 5 + 2x)(3x - 5 - 2x)
A = (5x - 5)(x - 5)
A = 5(x - 1)(x - 5)
La forme factorisée de (3x-5)² - 4x² est 5(x - 1)(x - 5).
1 votes
Thanks 2
PAU64
(3x - 5)² - 4x² =
(3x - 5)² - (2x)² =
(3x - 5 - 2x) (3x - 5 + 2x) =
(x - 5) (5x - 5)
1 votes
Thanks 1
PAU64
non c la même chose 5 (x - 1) = (5x - 5)
PAU64
on a écrit différemment mais c juste nous 2
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A = (3x - 5 + 2x)(3x - 5 - 2x)
A = (5x - 5)(x - 5)
A = 5(x - 1)(x - 5)
La forme factorisée de (3x-5)² - 4x² est 5(x - 1)(x - 5).
(3x - 5)² - (2x)² =
(3x - 5 - 2x) (3x - 5 + 2x) =
(x - 5) (5x - 5)