Simplify quantity 12 x minus 96 over quantity x squared minus 4x minus 32 all over quantity 6 x squared minus 6 x minus 12 over 3 x plus 4

First we will factorize polynomials:
x² - 4 x - 32 = x² - 8 x + 4 x - 32 = x ( x- 8 ) +4 ( x - 8 )= ( x - 8 ) ( x + 4 )
6(x² - x - 2 )= 6(x² - 2 x + x - 2) = 6(x ( x - 2 )+ ( x - 2 ))= 6 ( x - 2 ) ( x + 1 )