`(3/(x-2)-6/(x^2-4))/(3/(x+2)+1/(x-2))` Simplify the complex fraction.

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

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

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

Divide the fractions `(a/b)/(c/d)=(ad)/(bc)`

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

`=(3x+6-6)/(3x-6+x+2)`

`=(3x)/(4x-4)`

`=(3x)/(4(x-1))`