Réponse :
factoriser les expressions suivantes:
A = 25 x² - 9 + (5 x - 3)(7 x + 8)
= (5 x + 3)(5 x - 3) + (5 x - 3)(7 x + 8)
= (5 x - 3)(5 x + 3 + 7 x + 8)
= (5 x - 3)(12 x + 11)
B = (2 x - 3)(4 x + 2) + (- 2 x + 3)(7 x - 6)
= (2 x - 3)(4 x + 2) - (2 x - 3)(7 x - 6)
= (2 x - 3)(4 x + 2 - 7 x + 6)
= (2 x - 3)(- 3 x + 8)
C = (4 x - 6)(3 x + 7) + (2 x - 3)(8 x + 3)
= 2(2 x - 3)(3 x + 7) + (2 x - 3)(8 x + 3)
= (2 x - 3)(2(3 x + 7) + 8 x + 3)
= (2 x - 3)(6 x + 14 + 8 x + 3)
= (2 x - 3)(14 x + 17)
D = 2 x(4 x + 5) + 16 x² + 40 x + 25
= 2 x(4 x + 5) + (4 x + 5)²
= (4 x + 5)(2 x + 4 x + 5)
= (4 x + 5)(6 x + 5)
E = 9 - 48 x + 64 x² - (6 + 2 x)(3 - 8 x)
= (3 - 8 x)² - (6 + 2 x)(3 - 8 x)
= (3 - 8 x)(3 - 8 x - 6 - 2 x)
= (3 - 8 x)(- 10 x - 3)
F = 100 x² - 25 + (20 x + 10)(2 x - 4)
= (10 x - 5)(10 x + 5) + (20 x + 10)(2 x - 4)
= (10 x - 5)(10 x + 5) + 2(10 x + 5)(2 x - 4)
= (10 x + 5)(10 x - 5 + 4 x - 8)
= (10 x + 5)(14 x - 13)
Explications étape par étape
