To solve this, we're going to have to use the binomial theorem. It states that:
[tex] (x+y)^{n}=\sum_{k=0}^{n} \binom{n}{k}x^{n-k}y^k [/tex]
If you want a specific term, we can just disregard the polynomial and use this:
[tex] A_k= \binom{n}{k-1}x^{n-k-1}y^{k-1} [/tex]
Where A_k is the kth term. In the context of this problem it would look like:
[tex] A_2= \binom{5}{1}(3x)^{5-1}(-4y)^1= 5*81*-4*x^4*y=1620x^4y [/tex]
So, based on that, our second term is [tex] 1620x^4y [/tex]
