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

1 answer

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 \(20 + 98m\).