ANSWER
\(T_2 = 5s^{4}v\)
EXPLANATION
We can use the binomial theorem for a specified term to find the second term.
This is given by,
\(T_{r+1}=^nC_ra^{n-r}b^r\)
For the second term,
\(r + 1 = 2\)
This implies that,
\(r = 1\)
By comparing
\((s+v)^5\)
to
\((a+b)^n\)
\(a = s\)
\(b = v\)
and
\(n = 5\)
We substitute all these into the formula to get,
\(T_2=^5C_1s^{5-1}v^1\)
\(T_2=^5C_1s^{4}v\)
\(T_2 = 5s^{4}v\)
The correct answer is C
