Removing Listeners That Only Exist on Child

I am trying to have a single parent class that a wide variety of classes can extend. Each of them has the exact same event listeners and remove function so I thought I would try to write the function a single time in the parent class.

Parent Class:


public function removeMe():void {
     /* REMOVE EVENT LISTENERS */
}

Child Class:


public class Child extends Parent {
	public function Child() {
		addEventListener(Event.ADDED_TO_STAGE, beginClass);
	}
	private function beginClass(e:Event):void {
		addEventListener(Event.ENTER_FRAME, eFrame);
		addEventListener(MouseEvent.CLICK, clicked);
	}
	private function eFrame(e:Event):void {
		/* DO STUFF */
	}
	private function clicked(e:MouseEvent):void {
		/* DO MORE STUFF */
	}
}

The event listeners are not defined in the parent class and, therefore, I cannot remove them through normal means. Is there any easy way to remove these listeners through the parent class or at least make them known to the parent class?