The most common chemical used to kill stuff is chlorine. No one messes with chlorine. If you are a bacteria chlorine is your worst nightmare, it will kill you and all your family in less than two seconds and once you're dead it will chop up your body to bits so small even an electron microscope can't see. Not just bacteria, algae, skin cells - anything organic.
Though it is quick to kill it takes a while to chop up so that's why we filter the water to get out the dead bodies and the filter sometimes needs help with the really small bits so floculants are added to gather all the small bits to one big bit that the filter can catch.
But in order for the chlorine and floc to work properly the water must be 'in balance' that is the acidity level must be right. Dry Acid or Alkali needs to be added to get the balance right.
And that's it in a nutshell, the difference between a pond and a pool.