Hate is normally used as a verb, to hate. While it is also a noun as indicated by Nathan, hatred is more often than not used as the note. Hatred is the emotion or attribute of hating something. It is always a noun and has no verb form. So as Nathan stated above: I hate politics. The verb in this sentence is "to hate". I have a hatred of politics. The verb in this sentence is "to have", hatred is a noun expressing the subject and politics is the object or topic.

Not sure what your asking here, hate and hatred is the same thing, i will give you some example. I hate politics. I have a hatred of politics. There is a hate of long hours. There is a hatred of long hours. Hope this helps ! if not please explain your question abit more and ill try to help more :)