Binomial Expansion Calculator
Expand (a + b)^n using the binomial theorem and find specific terms.
(a + b)^n Parameters
Find Specific Term
Binomial Theorem
(a + b)^n = Sum[k=0 to n] C(n,k) * a^(n-k) * b^k
Where C(n,k) = n! / (k!(n-k)!)
Binomial Coefficients
C(4,0)1
C(4,1)4
C(4,2)6
C(4,3)4
C(4,4)1
(1 + 1)^4
= 16
Term 3
Coefficient6
a power2
b power2
Value6
All Terms
| # | C(n,k) | a^ | b^ | Value |
|---|---|---|---|---|
| 1 | 1 | 4 | 0 | 1.0000 |
| 2 | 4 | 3 | 1 | 4.0000 |
| 3 | 6 | 2 | 2 | 6.0000 |
| 4 | 4 | 1 | 3 | 4.0000 |
| 5 | 1 | 0 | 4 | 1.0000 |
Middle Term(s)
Term 3
6
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Editorial Note
MyCalcBuddy Editorial Team
This page is maintained as an educational calculator reference.
📚
Formula Source: Handbook of Mathematical Functions
by Abramowitz & Stegun
🔄Last reviewed: May 2026
✓Formula checks are based on standard references and internal QA review.