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Make sure your console is connected to your TV via a HDMI cable. Without that specific cable, Minecraft will not allow split screen.
You need to have a HD TV and you just press multiplayer and the split screen.
You'll need a friend with you in real life, so you can share a screen. Your friend will have to add their controller, and then you can play. As for XBOX Live, split screen isn't needed as your playing on different consoles. Just invite them to an XBOX party and you can invite them to your minecraft game, no split screen needed.
print screen key on keyboard, if you have steam, you can run minecraft from your library and use the steam screenshot system.
If you are referring to the Xbox version, yes you can! The only downside is that you have to have HD to play split screen.