To simplify the expression \( mn - mt + 2n - 2t \), you can group and factor it if possible. Here is one way to rearrange and factor:
Rearrange the terms: \[ mn + 2n - mt - 2t \]
Factor by grouping: \[ n(m + 2) - t(m + 2) \]
Now, factor out the common factor \((m + 2)\): \[ (m + 2)(n - t) \]
Thus, the simplified form of \( mn - mt + 2n - 2t \) is: \[ (m + 2)(n - t) \]