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Why my solution fail?

Here is the problem - http://en.lichess.org/training/44727. After
1. Qb8 Rd7
2. Qc8 f5
My solution 3. Rxc2 failed in preference of a less effective 3. Qxd7.
I checked the position with stockfish and it also recommends Rxc2 as the best move. What's wrong here?

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