Applications of Binomial Theorem

The binomial theorem has many applications including approximations, finding coefficients, and solving problems involving powers.

Approximations

Example: Approximation

Finding Coefficients

Example: Coefficient of Specific Term

Example: Coefficient with Multiple Terms

Finding Constants

Sum of Binomial Coefficients

Practice Problems

1. Approximate using binomial approximation.
2. Find the coefficient of in .
3. Find the constant term in .
4. Find the sum of all binomial coefficients in the expansion of .