Binomial theorem for JEE

Formula

\[(x+a)^n=\sum_{r=0}^{n}{n\choose r}x^{n-r}a^r={n\choose 0}x^n+{n\choose 1}x^{n-1}a+\cdots+{n\choose n}a^n\]

Variables: \(n\) is a positive integer; \(x,a\) are any numbers/expressions.

Conditions: Applicable for positive integral \(n\).

Expansion of powers, coefficient finding, term identification, simplification.