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Exercice 1 Factoriser et réduire
A = 5x – 10 = .....
B = -9x - 18 =
C = 40n + 10n2 =
D = x2 – 5x =
E= 3x - 3=...
F= 7r + 7t ==
G= 3x(x + 2) + 8(x + 2) =
H = 5x(x + 1) – 7x(x + 1) =
1 = (x + 7)(2x – 5) - (2x - 5)(3x + 2) =​


Sagot :

Bonjour,

A = 5x – 10 = 5(x-2)

B = -9x - 18 = -9( x +2)

C = 40n + 10n² = 10n ( 4+ n)

D = x² – 5x = x(x -5)

E= 3x - 3= 3(x-1)

F= 7r + 7t = 7(r+t)

G= 3x(x + 2) + 8(x + 2) = (x+2) (3x +8)

H = 5x(x + 1) – 7x(x + 1) = (x+1) (5x -7x) = (x+1) ( -2x)

1 = (x + 7)(2x – 5) - (2x - 5)(3x + 2) =​

(2x-5) ( x+7 -3x -2) = (2x-5) ( -2x +5)

Réponse :

Bonjour

Explications étape par étape

Factorisation

A = 5x - 10 = 5(x-2)

B = -9x - 18 = -9( x +2)

C = 40n + 10n² = 10n( 4 + n)

D = x² - 5x =  x(x -5)

E= 3x - 3 = 3(x -1)

F= 7r + 7t = 7 (r +t)

G= 3x (x + 2) + 8(x + 2) = (x+2) (3x +8)

H = 5x (x + 1) - 7x (x + 1) =  (x +1) (5x -7x) = ( x +1) ( -2x)

I = (x + 7)(2x – 5) - (2x - 5)(3x + 2) =​  (2x -5) ( x+7 -3x -2) = (2x-5) ( -2x +5)