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Developper et reduire les 4 premiers calculs . Factoriser les 6 derniers calcul . (C'est une correction de DS ) . Merci

DEVELOPPER : 
A= (3x+4)² 
B= (6x-1) (-2x+4)
C= (4x-3)² - (x-4) (4x-3)
D= - (x-1)² + (4x-3) (5x-3)


FACTORISER 
E=  2x² + 5x
F= x² - 4x + 4
G= 9x² - 4
H= 15x² + 30x + 15
I= (8x - 1)² - (3x + 1) (8x - 1)
J= (4x - 1)² - 49 



Sagot :

DEVELOPPER : 
A= (3x+4)² =9x²+24x+16

B= (6x-1) (-2x+4)=-12x²+24x+2x-4=-12x²+26x-4

C= (4x-3)² - (x-4) (4x-3)=(16x²-24x+9)-(4x²-3x-16x+12)=16x²-24x+9-4x²+3x+16x-12=12x²-5x-3

D= - (x-1)² + (4x-3) (5x-3)=-(x²-2x+1)+20x²-12x-15x+9=-x²+2x-1+20x²-12x-15x+9=19x²-25x²+8

FACTORISER 
E=  2x² + 5x=x(2x+5)

F= x² - 4x + 4=(x-2)²

G= 9x² - 4=(3x-2)(3x+2)

H= 15x² + 30x + 15=15(x²+2x+1)=15(x+1)²

I= (8x - 1)² - (3x + 1) (8x - 1)=(8x-1)(8x+1-3x+1)=(8x-1)(5x-2)

G= (4x-1)² - 49 = je seche....

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