In most cases, an apology might come out as insincere or sarcastic. This might aggravate your relationship with your ex. You want to be able to communicate with your ex. In order to do this, there should not be any barriers between you two. So, an apology can help reduce any tension or bad feelings that may have arisen from the incident that caused the break up. An apology can make your ex feel like you both are moving on and that you're trying to fix your relationship. An apology can also show your ex that you have learned from your mistakes which can help repair your relationship. Asking for an apology will help you move forward with your life and not hold the past too close to heart. It's best to let go of any anger you may have against your ex so you don't cause more damage to your relationship by holding it against them. Apologizing shows you are a responsible person who is willing to fix things that were wrong in your relationship. This will make your ex want to re-evaluate whether they want to continue down the break up road with you.