1. **State the problem:** Calculate the value of $ (32 + 8) \cdot (32 - 8) $.
2. **Use the difference of squares formula:**
$$ (a + b)(a - b) = a^2 - b^2 $$
where $a = 32$ and $b = 8$.
3. **Apply the formula:**
$$ (32 + 8)(32 - 8) = 32^2 - 8^2 $$
4. **Calculate the squares:**
$$ 32^2 = 1024 $$
$$ 8^2 = 64 $$
5. **Subtract the squares:**
$$ 1024 - 64 = 960 $$
6. **Final answer:**
$$ (32 + 8)(32 - 8) = 960 $$
Difference Squares D43Bcf
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.