Réponse :
Explications étape par étape
Bonjour
Factoriser les exercices suivants
N = (7x – 2) (3x – 1) – (3x – 1) (6x + 5) ;
N = (3x - 1)(7x - 2 - 6x - 5)
N = (3x - 1)(x - 7)
P = (2x – 3)2 – 121 ;
P = (2x - 3)^2 - 11^2
P = (2x - 3 - 11)(2x - 3 + 11)
P = (2x - 14)(2x + 8)
P = 2(x - 7) * 2(x + 4)
P = 4(x - 7)(x + 4)
Q = 4x2 – (x – 9)^2
Q = (2x)^2 - (x - 9)^2
Q = (2x - x + 9)(2x + x - 9)
Q = (x + 9)(3x - 9)
Q = (x + 9) * 3(x - 3)
Q = 3(x + 9)(x - 3)
R = (2x – 7)^2 – (x + 9)^2 ;
R = (2x - 7 - x - 9)(2x - 7 + x + 9)
R = (x - 16)(x + 2)
S = (5x + 2) (4x – 1) – (5x + 2) (x – 5) ;
S = (5x + 2)(4x - 1 - x + 5)
S = (5x + 2)(3x + 4)
T = (x + 5) (8x – 6) – (x + 5)^2
T = (x + 5)(8x - 6 - x - 5)
T = (x + 5)(7x - 11)
U = 81 – 9x2 ;
U = 9^2 - (3x)^2
U = (9 - 3x)(9 + 3x)
U = 3(3 - x) * 3(3 + x)
U = 9(3 - x)(3 + x)
V = 36 + 42x – 18y ;
V = 6^2 + 6 * 7x - 6 * 3y
V = 6(6 + 7x - 3y)
W = (2x – 3)^2 – 36
W = (2x - 3)^2 - 6^2
W = (2x - 3 - 6)(2x - 3 + 6)
W = (2x - 9)(2x + 3)