Was Bane trained by Ra's al-Ghul in the same way Batman was?
Which comics will provide me with better details about this question?
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You should be aware that Ra's al-Ghul only trained Batman in the movie Batman Begins. It didn't happen in the comics (unless the movie has since been serialized that I'm not aware of).
The relationship between Ra's and Bane in the comics is summarised at Wikipedia. Bane impresses Ra's and is chosen by him to be his daughter Talia's mate. When Bane loses a fight to Batman, Ra's is disillusioned and disowns him.
The story is contained in the Batman: Legacy storyline. A list of the issues involved is here, and is given as: