Algebraic simplification problem 
I must simplify this expression:
  $$\frac{a^2+ac}{a^2c-c^3}-\frac{a^2-c^2}{a^2c+2ac^2+c}+\frac{2c}{c^2-a^2}-\frac{3}{a+c}$$

I managed to simplify it to:
$$\frac{( a+1)^2-(a+c)^2}{c(a+c)(a+1)^2}$$
However, I am stuck now. Therefore, I would like some help to simplify it further.

Hint
$$\frac{a(a+c)}{c(a-c)(a+c)}-\frac{(a-c)(a+c)}{ac(a+c)+c(a+c)}+\frac{2c}{(c-a)(a+c)}-\frac{3}{a+c}$$
