Grab an adhesive strip's pull tab and slowly pull it out from underneath the battery tray.

Pull the adhesive strip at as low of an angle as you can. Try to avoid dragging it across components inside the frame.

Pull the adhesive strip until it's freed from under the battery tray. Give the strip plenty of time to stretch.

Repeat for all six adhesive strips.

Use your spudger to depress the piece of foam near the lower right strip as you pull.

If any strips broke off and you can't retrieve them:

Use a pipette or syringe to dispense a few drops of highly-concentrated isopropyl alcohol (over 90%) under the sections of the battery tray where the strips broke. Tilt the tablet to let the isopropyl alcohol flow underneath.

Wait two minutes, then use a spudger to pry up the battery tray.