The short answer is No.
But here is a more indepth answer.
Bath bombs do not typically stain the tub, but they can leave a residue that can be difficult to clean. This is because bath bombs contain oils, dyes, and fragrances that can leave a film on the surface of the tub. To avoid staining, it is best to rinse the tub thoroughly after each use and to use a gentle, non-abrasive cleaner to remove any remaining residue.
Soap scum - what is that i hear you ask? Soap scum is a chalky, slimy film that accumulates on surfaces in contact with soap and water. It is composed of minerals, soap, dead skin cells ( gross I know) and oils that have been left behind after the evaporation of soapy water. Soap scum can be difficult to remove and can leave surfaces looking dull and dingy. But more often than not it is invisble unless something clings to it.
This is what any colour or oils will cling to while using a bath bomb. So I state once again it is important to start with a clean bath, and rinse with warm water and a cloth after EVERY bath.
Polysorbate 80 is an essential ingredient used in every bath bomb at You're The Bomb. Its job is to emulsify the oils, which in turn helps disperse the colourant throughout the bath. This ingredient helps to keep the oil and colours from clumping together and leaving an oil slick on top, instead you will end up with silky soft, beautifully coloured water to enjoy.