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After a small plot point is discovered, Bane comes storming after Batman, spewing threats to rip him apart. Seeing as Bane is basically the humanoid form of a Mack truck, this is fully possible.
The encounter with Bane takes place in a confined boiler-room. Bane has four basic attacks. He has a melee attack that will trigger when Batman gets too close, a charge attack, an area-of-effect ground pounding attack, and a throw attack. His melee attack only triggers when Batman is close and his area-of-effect only happens after Batman makes a successful attack, so they are not the main threats. The charge and throw attacks are both dangerous, but they can be avoided by double-tapping A to dodge.
Bane is immune to melee most of the time, but he is vulnerable to Batarangs when he charges. This is the key to defeating him. Hitting him with a batarang during a charge will disorient him, and while he is disoriented he is vulnerable to melee attacks. Attacking him in melee while he is disoriented will eventually trigger a sequence in which Batman jumps onto Bane's back and takes out some of the Venom tubes which give him his massive strength. This will eventually result in his defeat.
The battle is spiced up by thugs who will come to assist Bane. These thugs can make it harder to dodge Bane's attacks. But Bane's attacks can also be used against them. Try to line Bane up with the thugs when he is charging or throwing and he'll take care of the thugs for you.