Ok so the problem I have to do is

(4-x)/(x^2+6x+8)

The correct answer is apparently 3/(x+2) - 4/(x+2)

but how is this possible if the denominator is x^2+6x+8? When the denominator is factored, aren't the factors (x+4) and (x+2) ?

Is this a mistake in the answer key or am I just misinterpreting?

If anyone can tell me how to do this, your help would be much appreciated!