(4n^4 - 8n + 4) - (8n^2 + 4n^4 + 1) can be simplified as:
4n^4 - 8n + 4 - 8n^2 - 4n^4 - 1
Rearranging the terms to combine like terms, we have:
(4n^4 - 4n^4) + (-8n - 0n) + (4 - 1) = -8n - 1 + 3
Combining the constants, we have:
-8n + 2
Therefore, the difference is -8n + 2.
None of the provided answer choices match this expression exactly.