Binomial Expansion Calculator
Calculate (a + b)ⁿ using the binomial theorem.
- Free Online Tool
- Instant Results
- Mobile Friendly
- No Installation
- Secure & Private
Understanding This Calculator
Binomial Theorem
Expands the power of a binomial (a + b)ⁿ into a sum involving terms of the form aˣbʸ.
(a + b)ⁿ = Σ (nCr) aⁿ⁻ʳ bʳ
Example 1
(x + y)²
- 1x² + 2xy + 1y²
- Coefficients: 1, 2, 1 (Pascal's Triangle Row 2)
Example 2
(2 + 1)³
- 2³ + 3(2²)(1) + 3(2)(1²) + 1³
- 8 + 12 + 6 + 1 = 27 (Check: 3³ = 27)
How to Use
- Enter value a.
- Enter value b.
- Enter power n.
Frequently Asked Questions
How do I use the Binomial Expansion Calculator?
Enter your values in the input fields, and the result will appear instantly.
Is this calculator free to use?
Yes, this calculator is 100% free and does not require any registration or subscription.
Is it mobile-friendly?
Absolutely! Our tool is optimized for all devices, including mobile phones, tablets, and desktop computers.