Question

Select all of the expressions equivalent to (834+312m)−(814+214m).

Answer 1

To simplify the expression \((834 + 312m) - (814 + 214m)\), follow these steps:

1. Distribute the negative sign through the second parentheses:
\[
(834 + 312m) - 814 - 214m
\]

2. Combine like terms:
- For the constant terms:
\[
834 - 814 = 20
\]
- For the terms involving \(m\):
\[
312m - 214m = 98m
\]

3. Combine the results:
\[
20 + 98m
\]

Thus, the expression \((834 + 312m) - (814 + 214m)\) simplifies to:

\[
20 + 98m
\]

Therefore, any expressions equivalent to \(20 + 98m\) would be correct. Some equivalent forms might be:
- \(98m + 20\) (rearranging the order of terms)
- \((98m + 20)\)

If you have any specific options listed as alternatives, please share them, and I can help identify which of those are equivalent to \(20 + 98m\).