Could you answer my question?
Could you answer to my question?
Could you answer me?
Could you answer to me?
Could you give me an asnwer?
Could you give an answer to me?
Could you give my question an answer?
Could you give an answer to my question?
Correct: Could you answer my question?
Could you answer me?
Could you give me an answer?
Incorrect: Could you answer to my question?
Could you answer to me?
Odd, but not exactly wrong: Could you give my question an answer?
Could you give an answer to my question?
Could you give an answer to me?
Sound angry or impatient: Could you answer me?
Could you give me an answer?
In English, it’s very rare to say you answer to someone or to someone’s question or to someone’s letter. That use of “to” with “answer” is a common mistake of people who speak languages that mark almost every noun for case, such as Russian, Polish or Czech.