4)) Find the product. Simplify your answer. $$ -8\left(-4 m^{2}-4\right) $$

Question

UpStudy AI · Accepted Answer

To find the product and simplify the expression $$ -8\left(-4 m^{2} - 4\right) $$, follow these steps:

1. **Distribute the $$-8$$ to each term inside the parentheses:**

$$
   -8 \times (-4 m^{2}) + (-8) \times (-4)
   $$

2. **Multiply the coefficients:**

- For the first term:
     $$
     -8 \times (-4 m^{2}) = 32 m^{2}
     $$
   
   - For the second term:
     $$
     -8 \times (-4) = 32
     $$

3. **Combine the results:**

$$
   32 m^{2} + 32
   $$

**Final Simplified Expression:**

$$
32 m^{2} + 32
$$
The product simplifies to $$ 32 m^{2} + 32 $$.

4)) Find the product. Simplify your answer. \( -8\left(-4 m^{2}-4\right) \)