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Home/Mathematics/Algebra/Binomial Expansion Calculator
Math CalculatorAlgebra

Binomial Expansion Calculator

Expand (a + b)^n using the binomial theorem. Shows each term of the expansion with binomial coefficients.

Updated 2025-01-153 min readCalzyra Math Team
HomeMathalgebraBinomial Expansion Calculator

Binomial Expansion Calculator

Expand (a + b)^n using the binomial theorem. Shows each term of the expansion with binomial coefficients.

Formula(a + b)^n = Σ C(n,k) × a^(n-k) × b^k, k = 0 to n

Enter Values

The first term inside the parentheses.

The second term inside the parentheses.

The exponent (non-negative integer, max 20).

About This Formula

Uses the binomial theorem where C(n,k) = n! / (k!(n-k)!) to compute each term of the expansion.

Formula & Methodology

How this calculator works

(a + b)^n = Σ C(n,k) × a^(n-k) × b^k, k = 0 to n

Uses the binomial theorem where C(n,k) = n! / (k!(n-k)!) to compute each term of the expansion.

Frequently Asked Questions

Common questions about this calculator

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