authorea.com/99189

There are also a few good things to take note of when looking at an expansion:

- There are \(n+1\) terms in the expansion \(\left(x+y\right)^n.\)
- The degree of each term is \(n.\)
- The powers on \(x\) begin with \(n\) and decrease to \(0.\)
- The powers on \(y\) begin with \(0\) and increase to \(n.\)
- The coefficients are symmetric.

In addition, there are also numerous identities that are satisfied by binomial coefficients such as:

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