with sharing the corner gave a far better result.
tderz Now Black has two cutting points at a and b. Black should decide for himself whether he wants to take sente or not after .
tderz If Black wants to take sente, there are at least two ways: the left, and the right (which looks like gote).
tderz On the left, white takes the big point in gote. On the right, Black has preserved the aji to extend with , which works well with a black stone on c. Perhaps this are too many ifs. Above  is quite straightforward cash.