How can the Binomial Theorem be useful in helping to prove and use polynomial identities?

can someone please explain this to me im confused

2 answers

So am I but this might help
https://www.mathsisfun.com/algebra/binomial-theorem.html
Perhaps an actual question or example will help

Here is one case:
Prove that (2x -3y)^4 = ....... <--- they would give that

LS = (2x - 3y)^4
= 1(2x)^4 + 4(2x)^3(-3y) + 6(2x)^2(-3y)^2 + 4(2x)(-3y)^3 + 1(-3y)^4
= 16x^4 - 96x^3 y + 216x^2 y^2 - 216x y^3 + 81y^4
= RS

make sure you are familiar with Pascal's triangle, it will be of great value to you
e.g. I took the values of 1 4 6 4 1 from the 5th row of the triangle
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
...