Use the Distributive Property and Combining Like Terms to simplify.

Question

9(m+8)+11(3m+4)9\left(m+8\right)+11\left(3m+4\right)9(m+8)+11(3m+4)

Answer 1

To simplify the expression \( 9(m + 8) + 11(3m + 4) \), we will first apply the Distributive Property and then combine like terms.

1. Distribute the constants into the parentheses:

   • For \( 9(m + 8) \): \[ 9 \cdot m + 9 \cdot 8 = 9m + 72 \]

   • For \( 11(3m + 4) \): \[ 11 \cdot 3m + 11 \cdot 4 = 33m + 44 \]

2. Combine both results: \[ 9m + 72 + 33m + 44 \]

3. Combine like terms:

   • Combine \( 9m \) and \( 33m \): \[ 9m + 33m = 42m \]
   • Combine \( 72 \) and \( 44 \): \[ 72 + 44 = 116 \]

4. Final simplified expression: \[ 42m + 116 \]

Thus, the simplified expression is: \[ \boxed{42m + 116} \]