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Binomial Expansion Calculator

Expand expressions of the form (a + b)^n with the binomial theorem.

Formula

(a + b)^n = Σ C(n, k) a^(n-k)b^k

Each term uses a binomial coefficient and powers of a and b.

Example

(x + 2)^3 = x³ + 6x² + 12x + 8

FAQs

What is a binomial coefficient?

It is the number of ways to choose k items from n, written C(n, k).

Can the power be large?

Yes, the formula works for any non-negative integer power.

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