Answer:
6/(x + 4)(x - 2)
Explanation:
(12x - 96)/(x² - 4x - 32) ÷ (6x² - 6x - 12)/(3x + 3)
12x - 96 = 12(x - 8)
x² - 4x - 32 = (x - 8)(x + 4)
(12x - 96)/(x² - 4x - 32) = 12/(x + 4)
6x² - 6x - 12 = (3x + 3)(2x - 4)
(6x² - 6x - 12)/(3x + 3) = 2x - 4 = 2(x - 2)
(12x - 96)/(x² - 4x - 32) ÷ (6x² - 6x - 12)/(3x + 3) = 12/(x + 4) ÷ 2(x - 2) = 12/(x + 4) × 1/2(x - 2) = 6/(x+4)(x-2)