Question

Use the Distributive Property and Combining Like Terms to simplify.




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:
\[
\boxed{42m + 116}
\]