Question 283066
{{{((x-6)/(x^2-x-6))-((x+3)/(x^2+8x+12))}}} 

(x-6)/(x^2-6x+x-6) - (x+3) / x^2+6x+2x+12)

(x-6)/ {x(x-6)+1(x-6)} - (x+3) / {x(x+6)+2(x+6)}

(x-6) / (x+1)(x-6) - (x+3)/(x+6)(x+2)

1/ (x+1)  - (x+3) / (x+6)(x+2)

(x+6)(x+2) - (x+1)(x+3)  / (x+1)(x+6)(x+2)

(x^2+8x+12) - (x^2+4x+3) / (x+1)((x+6)(x+2)

(x^2+8x+12-x^2-4x-3)/(x+1((x+6)(x+2)

(4x-9)/(x+1)(x+6)(x+2)