Why Red Hood doesn't kill the Joker?

Why Red Hood doesn't kill the Joker?
He has no compulsion about killing criminals and the Joker ruined his life. He has more reasons to kill the Joker out of anyone in the Bat-Family.
So why hasn't he killed the Joker yet? I don't get it.

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it would be too easy , and batman protects joker

Cus Joker has a infinite one up cheat

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He tried once and Batman threw a batarang into his neck

A curtesy to Bruce

I miss sexy Jase and dark trinity family

>Why Red Hood doesn't kill the Joker?
Seriously? Because Joker is a popular character.

Because there's 3 Jokers and he doesn't know where to start

Batman can't protect the Joker all the time.
So? More reason for him to kill the Joker then.
Why? He tried to kill the Penguin not long ago.