What is 5m12−15m12

?(1 point)
Responses

20m−−√
20 square root of m

−45m−−√
negative 45 square root of m

−10m−−√
negative 10 square root of m

−3m−−√
negative 3 square root of m

1 answer

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:

  1. \(20\sqrt{m}\)
  2. \(-45\sqrt{m}\)
  3. \(-10\sqrt{m}\)
  4. \(-3\sqrt{m}\)

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 \(-10m^{12}\).

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