To simplify the expression \(5m^{12} - 15m^{12}\), we first combine like terms:
\[ 5m^{12} - 15m^{12} = (5 - 15)m^{12} = -10m^{12} \]
This means the answer is \(-10m^{12}\), but none of the provided responses match this expression exactly.
If we consider the responses provided, they all involve square roots:
- \(20\sqrt{m}\)
- \(-45\sqrt{m}\)
- \(-10\sqrt{m}\)
- \(-3\sqrt{m}\)
It's important to note that \(-10m^{12}\) does not relate directly to \(\sqrt{m}\). Therefore, the expression simplifies to \(-10m^{12}\) and none of the options provided are correct based on what's asked.
If you made a mistake in copying the original problem or the options, please double-check and provide the correct information; otherwise, based on \(5m^{12} - 15m^{12}\), the simplified result is \(-10m^{12}\).