Simplify the expression 4M + 2C + 5 m + 6C using the cumuntative property of addition

Answer 1

To simplify the expression \(4M + 2C + 5m + 6C\) using the commutative property of addition, we can rearrange the terms and combine like terms.

1. First, let's group the like terms:

   • The terms involving \(M\) and \(m\) (assuming \(M\) and \(m\) are the same variable, though this may depend on your specific context).
   • The terms involving \(C\).

2. The expression can be rearranged and grouped as follows: \[ (4M + 5m) + (2C + 6C) \]

3. Now, combine the like terms:

   • For \(C\): \(2C + 6C = 8C\)
   • For \(M\) and \(m\): If \(M\) and \(m\) are considered distinct variables, you would leave it as \(4M + 5m\). If they are the same, you would combine them as \(4M + 5M = 9M\) (assuming \(M = m\)).

Putting this together, we have:

• If \(M\) and \(m\) are distinct: \(4M + 5m + 8C\)
• If \(M\) and \(m\) are the same (let's say \(M = m\)): \(9M + 8C\)

So the simplified expression, depending on interpretation, would be either: \[ 4M + 5m + 8C \quad \text{or} \quad 9M + 8C \]