Binomial Theorem Calculator

Calculate with the binomial theorem. This expands the term (a+b)ⁿ, the polynom with its individual summands with be displayed. For a and b, other terms can be entered, which will appear in the output. Please enter for n an integer between 2 and 100.

The formula is

The binomial coefficients calculate as n! / [ (n-k)! * k! ], whereas ! stands for the factorial.

Example: n=2 gives the most basic formula (a+b)² = a² + 2 a b + b²