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Sagot :

Bonsoir,

1)

D = (3x - 5)*(5 - 2x) - (3x - 5)²

D = 3x*5 - 3x*2x - 5*5 + 5*2x - ( 3x*3x - 2*3x*5 + 5*5)

D = 15x - 6x² - 25 + 10x - (9x² - 30x + 25)

D = 25x - 6x² - 25 - 9x² + 30x - 25

D = -15x² + 45x - 50

2)

D = (3x - 5)*(5 - 2x) - (3x - 5)²

D = (3x - 5)*(5 - 2x) - (3x - 5)*(3x - 5)

D = (3x - 5) [(5 - 2x) - (3x - 5)]

D = (3x - 5)*(5 - 2x - 3x + 5)

D = (3x - 5)*(-5x + 10)

3) Pour x = -1:

D = -15*(-1)² + 45*(-1) - 50

D = -15*1 - 45 - 50

D = - 15 - 45 - 50

D = -60 - 50

D = -110

Bonne soirée

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