Bonsoir :)
Réponse en explications étape par étape :
- Questions : Factoriser les expressions suivantes :
A = x² - 49
A = (x)² - (7)²
A = (x - 7)(x + 7)
B = 81 - t²
B = (9)² - (t)²
B = (9 - t)(9 + t)
C = 16x² - 36
C = (4x)² - (6)²
C = (4x - 6)(4x + 6)
D = 25 - 4y²
D = (5)² - (2y)²
D = (5 - 2y)(5 + 2y)
E = (x + 4)² - 49
E = (x + 4)² - (7)²
E = (x + 4 - 7)(x + 4 + 7)
E = (x - 3)(x + 11)
F = 100 - (2a + 1)²
F = (10)² - (2a + 1)²
F = (10 - 2a - 1)(10 + 2a + 1)
F = (- 2a + 9)(2a + 11)
G = 4 - (1 - 3c)²
G = (2)² - (1 - 3c)²
G = (2 - 1 + 3c)(2 + 1 - 3c)
G = (3c + 1)(- 3c + 3)
H = (5a + 12)² - 9
H = (5a + 12)² - (3)²
H = (5a + 12 - 3)(5a + 12 + 3)
H = (5a + 9)(5a + 15)
I = (7x + 8)² - (9 - 5x)²
I = (7x + 8 - 9 + 5x)(7x + 8 + 9 - 5x)
I = (12x - 1)(2x + 17)
J = (8 - 3a)² - (10 + 4a)²
J = (8 - 3a - 10 - 4a)(8 - 3a + 10 + 4a)
J = (- 7a - 2)(a + 18)
Voilà
