Battery draining when off. We have recharged battery 3 times. Have tested the battery it is good. After the recharge it is dead.

There is possible solutions: the battery is old and nearing the end of its life. or a parasitic drain. The drains are difficult to find. go to you tube and watch videos on battery drain when car is off. This will require some time but doable.
Car batteries will give indications of going bad then they are dead, you cannot recharge them ( regardless of what some people say)

Good luck

if the battery goes dead or low it must be recharged with a charger, driving the car will not recharge it properly. The alternator is only meant to maintain the battery, not recharge it. Get the battery recharged and verified and then try again.

If the battery tests good, and your charging system is working correctly, you may have something using power in the car when everything should be turned off. It could be a short in the wiring, a bad relay, or other component.
If you disconnect the battery and it does not loose power overnight, look for a power drain.

1. battery is bad. (wont hold a charge ) wont stay at 12.6vdc rested
2. the alternator charage system is not staying at 13.3 to 15v running. any walfart volt meter answers that. fast. a $10 tool.
3. or parked, the battery drains overnight this is called Phantom Drain, we use an ammeter (same tool above)and find that. (a.k.a , dark current)

3 simple tests, and answer is now known.
ask how.
you you have 2 choices, test, or guess.
one is cheap and other is $$$$$$$$$$$$$$$

Sounds like your brake switch may be bad.

CHECK THE ALTERNATOR , ONE MORE TIME. AND IF ITS GOOD THE PROBLEM WILL BE IN THE FUSEBOX IN MOST OF THE TIMES

If the Power steering and everything else seems to work the problem should be in the Alternator or Battery. Check your Battery cables for loose or dirty connections.

If you find the Battery cables were the problem, you need to recharge the Battery. A jumpstart may get you going, but the Alternator is meant to keep up with the current electrical demands and it will take a long time to fully recharge the Battery.

Autozone and Oreillys can check the Alternator and Battery if they are carried in, or on the car. Since the Expedition is dead, you can take in the Battery for a recharge and testing. This will keep you from needless work removing the Alternator if only the Battery was bad. If the Battery tests good after the recharge, then your only remaining option is to remove the Alternator for testing. Should both the Battery and the Alternator test out good, you have a major electrical malfunction. You will need an electrical shop.

Is the battery being recharged by the alternator?
Meaning, is the alternator putting out 13.5 volts or better, when reved up?

If not, then it is the alternator.
If it is, then the battery probably has in internal short that drains or prevent full recharge.

The one other alternative is that something is on all the time overhight, such as a trunk light. You can tell that by removing a battery terminal cable, and checking for 12 volts across the gap with a test light. Don't just use a voltmeter, because the radio may have a tiny drain to hold station memory. And don't remove a battery cable until after you consider things like radio antitheft mechanisms and codes.

Could be both batteries went bad.
1) I would take battery back to where you bought it and have them test.
2) Check, or have someone check, that battery power is not being used when the key is off and the car is not being used in any way. There will be a slight trickle of power use, but nothing that would wear the battery down in less than 3-4 weeks.

I would try to read the resistance between the battery cables(plus and minus) with the battery totally disconnected and the key in run position and see if it is <=150 ohms(considered a short).