Simplifying the above expression we shall proceed as follows: x-2/(x^2+4x-12) factoring out the denominator we get: x^2+4x-12 =x^2-2x+6x-12 =x(x-2)+6(x-2) =(x+6)(x-2) thus our expression will be: (x-2)/[(x+6)(x-2)] simplifying the above we get: 1/(x+6)