Answer:
[tex]3x^{5} - 15x^{4} + 30x^{3} - 30x^{2} + 15x -3[/tex]
Step-by-step explanation:
The binomial theorem is [tex](x+y)^{n} = \sum_{k=0}^{n}{n \choose k}x^{n-k}y^{k}[/tex].
Using the sequence, we can calculate the coefficients for each value to arrive at the final result. I personally used a calculator but the values can be calculated by hand as well.