because bleach has such seriously dangerous toxins, why not use Soda Crystals in your washing machine with your soap powder, half a cupful with whiten all your towels and sheets without harming you and the environment.
I usually put a scoopful of bicarb in my machine when I wash whites, I think soda crystals are too strong for some people's skin, but a good ideaas it'll help clean the washer anyway.