What is the Binomial Theorem?
- We know that the expansion of (a+b)² is a² + 2ab + b².
- Likewise, the expansion of (a+b)³ is a³ + 3a²b + 3ab² + b³.
- These expansions follow a distinct pattern.
- The first term and last term are always to the same power as the brackets.
- The number of terms is the value of the power plus 1.
- Expansions of (a+b)ˣ for different values of x are given by the binomial theorem.
Binomial Expansion for Different Values
- These additional equations can be found using the extension of the binomial theorem, which works for all rational numbers.
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