Question

How do you use the Binomial Theorem to expand `(3v+s)^5`?

Answer 1

The general form of the Binomial Theorem is

where

Now we have that `x=3v` and `y=s` applying the binomial theorem
we get

`(3v+s)^5=s^5+15 s^4 v+90 s^3 v^2+270 s^2 v^3+405 s v^4+243 v^5`