On donne: D=(2x-3)(5-x)+(2x-3)²

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Grade: Education Subject: mathematiques
On donne: D=(2x-3)(5-x)+(2x-3)²

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Answer (49)

Best Answer
(359)
Développer :
(2x - 3) (5 - x) + (2x - 3)²
= 10x - 2x² - 15 + 3x + 4x² - 12x + 9
= - 2x² + 4x² + 10x + 3x - 12x - 15 + 9
= 2x² + x - 6

Factoriser :
(2x - 3) (5 - x) + (2x - 3)²
= (2x - 3) [(5 - x) + (2x - 3)]
= (2x - 3) (5 - x + 2x - 3)
= (2x - 3) (x + 2)
(157)
bonjour

tu ne donnes pas de consigne mais je suppose qu'il faut factoriser

d = ( 2 x - 3) ( 5 - x + 2 x -3)
d = ( 2 x -3) ( x + 2)