Réponse :
factoriser les expressions
A(x) = x(-3 x - 4) - x(2 x - 5) = x(- 3 x - 4 - 2 x + 5) = x(- 5 x + 1)
B(x) = (2 x - 3)(2 x - 5) + (3 x + 1)(2 x - 3) = (2 x - 3)(2 x - 5 + 3 x + 1)
= (2 x - 3)(5 x - 4)
C(x) = (3 x + 2)(- 3 x - 5) - (3 x + 5)(3 x + 2)
= - (3 x + 5)(3 x + 2) - (3 x + 5)(3 x + 2)
= - 2(3 x + 5)(3 x + 2)
D(x) = (5 x - 1)² - (- 3 x + 2)² identité remarquable a²-b² = (a+b)(a-b)
= (5 x - 1 + (- 3 x + 2))(5 x - 1 - (- 3 x + 2)
= (5 x - 1 - 3 x + 2)(5 x - 1 + 3 x - 2)
= (2 x + 1)(8 x - 3)
E(x) = (- 2 x + 3)² - 25 x² = (- 2 x + 3)² - (5 x)²
= (- 2 x + 3 + 5 x)(- 2 x + 3 - 5 x)
= (3 x + 3)(3 - 7 x)
= 3(x + 1)(3 - 7 x)
F(x) = (- 5 x - 3)² - (x - 2)² = (- 5 x - 3 + x - 2)(- 5 x - 3 - x + 2)
= (- 4 x - 5)(- 6 x - 1)
Explications étape par étape
