I would like to know if you can whiten the white of your eyes like you whiten your teeth?

No: Unfortunately, there isn't any chemical, treatment, supplement, exercise or maneuver that will whiten the sclera (the white part of the eye). As we age, lipids (cholesterol) and fatty tissues absorb into the sclera and this is a relatively unavoidable process which turns the whites of the eys more yellow.

Unfortunately no: The white of the eye is actually made up of 3 layers: the sclera (the hard surface), which is covered by a tissue layer called tenon's capsule, and a layer of skin that lies on top of the tenon's called conjunctiva. Any and all of these layers can discolor with time due to increased pigmentation, blood vessel growth or fat accumulation. There is no treatment to reverse this natural change.