Binomial Theorem Calculator

Free online Binomial Theorem Calculator to expand binomials, compute coefficients, and evaluate combinations with step-by-step explanations. Enter a binomial expression or a combination form and solve instantly:

• 1. Expand (a+b)^𝑛 into a full polynomial
• 2. Find a specific term or coefficient (e.g., the coefficient of x^k).
• 3. Compute combinations like nCk (or nCr) and factorial forms
• 4. Simplify factorial and combination expressions

Follow these steps to get the final result and full working steps:

• 1. Type your expression in standard math format, such as (2+3)^5 or (x+2)^6
• 2. For combinations, enter C(5,4)
• 3. Click “Solve”
• 4. View the expanded form, coefficient results, and the step-by-step solution

Expand a binomial (x+1)^5

Expand with constants (2+3)^5

Compute combinations C(10,3)

Simplify the factorial expression 12!/(10!2!)

((a+b)^{2}=a^{2}+2ab+b^{2}

((a+b)^{3}=a^{3}+3a^{2}b+3ab^{2}+b^{3}

((a+b)^{4}=a^{4}+4a^{3}b+6a^{2}b^{2}+4ab^{3}+b^{4}

((a+b)^{5}=a^{5}+5a^{4}b+10a^{3}b^{2}+10a^{2}b^{3}+5ab^{4}+b^{5}

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