Use the Binomial Theorem to expand the binomial.
(s+3v)^5
- s^5 - 5s^4 + 10s^3v^2 + 5sv^4 - v^5
- s^5 + 15s^4v + 90s^3v^2 + 270s^2v^3 + 405sv^4 + 243v^5
- s^5 + 45s^4v + 270s^2v^3 + 810s^2v^3 + 1,215sv^4 + 729v^5
- s^5 + 15s^4 + 90s^3 + 270s^2 + 405s + 243
select one answer from here
None of the given answers are correct.
The correct expansion of (s + 3v)^5 using the Binomial Theorem is:
s^5 + 5s^4(3v) + 10s^3(3v)^2 + 10s^2(3v)^3 + 5s(3v)^4 + (3v)^5
Simplifying this expression:
s^5 + 15s^4v + 90s^3v^2 + 270s^2v^3 + 405sv^4 + 243v^5