Free speech: Free speech is like freedom speech.That means when there is no fear for sharing to talk each other.There is no fear of telling or discussing or giving any speech.Anyone can tell anything.. that's free speech.

Hate speech: Hate speech is like a speech which creates problem or create argument.
When a person talk and then it's hurt many people and make quarrel then it is hate speech.
Offensive speech: Offensive speech is not almost like hate speech but it creates controversy.
Suppose when a man talk another person and it's make argument for any topic so this is offensive speech.
So this are the differences .