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Exercice 1 : Développer et réduire les expressions suivantes.
A= Sx-3(x+13)
B = 4x - 6+6 ( 3x +2)
C = 2 x2 + x ( 4x - 8)
D = 6x2 - x + x( 6x-7)
E = (2x - 4) (6-x)
F = (x+y)(3x - y)
G=4 ( 2 x+5) 2
H= -4(3-X)2
Aider moi svp

Sagot :

Réponse :

A = 5x - 2(x + 13) = 5x - 2x - 26 = 3x - 26

B = 4x - 6 + 6(3x + 2) = 4x - 6 + 18x + 12 = 22x + 6

C = 2x² + x(4x - 8) = 2x² + 4x² - 8x = 6x² - 8x

D = 6x² - x + x(6x - 7) = 6x² - x + 6x² - 7x = 12x² - 8x

E = (2x - 4)(6 - x) = 12x - 2x² - 24 + 4x = -2x² + 16x - 24

F = (x + y)(3x - y) = 3x² - xy + 3xy - y² = 3x² - y² + 2xy

G = 4(2x + 5)² = 4(2x + 5)(2x + 5) = 4(4x² + 10x + 10x + 25) = 4(4x² + 20x + 25) = 16x² + 80x + 100

H = -4(3 - x)² = -4(3 - x)(3 - x) = -4(9 - 3x - 3x + x²) = - 4(x² - 6x + 9) = -4x² + 24x - 36

Explications étape par étape

Bonjour,

La A incompréhensible

B = 4x - 6+6 ( 3x +2)= 4x-6+18x+12= 22x+6

C = 2 x²+ x ( 4x - 8)= 2x²+4x²-8x= 6x²-8x

D = 6x2 - x + x( 6x-7)= 6x²-x+6x²-7x= 12x²-8x

E = (2x - 4) (6-x)= 12x-24-2x²+4x= -2x²+16x-24

F = (x+y)(3x - y)= 3x²+3xy-xy-y²= 3x²-y²+2xy

G=4 ( 2 x+5)²= 4(4x²+10x+10x+25)= 4(4x²+20x+25)= 16x²+80x+100

H= -4(3-X)2= -4(9-3x-3x+x²)= -4x²+24x-36

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