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

1 answer

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

First, identify the like terms:

  • For \(C\): \(2C\) and \(6C\)
  • For \(M\): \(4M\)
  • For \(m\): \(5m\)

Now, combine the coefficients of like terms:

  1. Combine \(C\): \[ 2C + 6C = 8C \]

  2. The \(M\) term remains \(4M\).

  3. The \(m\) term remains \(5m\).

Now, we can also re-arrange and write the expression:

\[ 4M + 5m + 8C \]

So, the simplified expression is: \[ 4M + 5m + 8C \]