Use Pascal's Triangle to expand the binomial.
(8v + s)^5
1. s^5 + 320s^4v + 5,120s^3v^2 + 40,960s^2v^3 + 16,380sv^4 + 262,144v^5
2. s^5 + 5s^4v + 10s^3v^2 - 10s^3v^2 + 5sv^4 - v^5
3. s^5 + 40s^4 + 640s^3 + 5,120s^2 + 20,480s + 32,768
4. s^5 + 40s^4v + 640s^3v^2 + 5,120s^2v^3 + 20,480sv^4 + 32,768v^5
The correct expansion using Pascal's Triangle is:
(8v + s)^5 = s^5 + 40s^4v + 640s^3v^2 + 5,120s^2v^3 + 20,480sv^4 + 32,768v^5
So, option 4 is the correct answer.