F = (11x+6) (11x-6) - (9-4x) (11x-6)
= (11x-6) [(11x+6) - (9-4x)]
= (11x-6) (11x+6-9+4x)
= (11x-6) (15x-3)
= 3 (11x-6) (5x-1)
puisque 121x²-36 = 11x² - 6² = (11x+6) (11x-6)
Réponse :
F = 121x² – 36 – (9 – 4x)(11x – 6)
F = (11x-6)(11x+6)- (9 – 4x)(11x – 6)
F = (11x-6)(11x+6-9+4x)
F = (11x-6)(15x-3)
F = 3(11x-6)(5x-1)
Explications étape par étape :