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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 isbinomial theorem

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

a =
b =
n =



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