Bonsoir j’ai un exercice en math voici l’énoncé : (voir photo)merci de votre aide

Bonsoir,

E = 16 - 4x^2
E = 4^2 - (2x)^2
E = (4 - 2x)(4 + 2x)
E = G

F = (4 - 2x)^2
F = 16 - 16x + 4x^2
F = 4x^2 - 16x + 16
F = H

G = (4 - 2x)(4 + 2x)
G = 16 + 8x - 8x - 4x^2
G = 16 - 4x^2
G = E

H = 4x^2 - 16x + 16
H = (2x)^2 - 2 * 2x * 4 + 4^2
H = (2x - 4)^2
H = (4 - 2x)^2
H = F

I = (4 + 2x)^2
I = 16 + 16x + 4x^2
I = 4x^2 + 16x + 16
I = J

J = 4x^2 + 16x + 16
J = (2x)^2 + 2 * 2x * 4 + 4^2
J = (2x + 4)^2
J = I

E = G
=> 16 - 4x^2
= 4^2 - 4x^2
= (4 - 2x) (4 + 2x)

F = H
=> (4 - 2x)^2
= 16 - 16x + 4x^2 = 4x^2 - 16x + 16

I = J
=> (4 + 2x)^2
= 16 + 16x + 4x^2 = 4x^2 + 16x + 16

Voilà...