Yep. You can use laundry bleach, just be sure to use only regular bleach. Don't use anything with scents, splashless bleach, or anything like that. Those things can screw up your tub water. The bleach bottle should have directions for making a disinfecting solution. Something like 1 cup bleach to 1 gallon water, but check the bottle in case your bleach is stronger or weaker than the normal 6% bleach.