Binomial Theorem Expander

Pascal's Triangle Visualizer

                    (1x + 1)5
                

Parameters

a — coefficient of first term: 1

b — coefficient of second term: 1

n — power (0–12): 5

Expansion

Middle term index (r): —

Sum of coefficients (x=1): —

Number of terms: —

All Terms

Find Coefficient of x^k

Target power of x:

—

Preset Expansions

Binomial Theorem:
(ax + b)^n = Σ C(n,r) · (ax)^(n−r) · b^r

General Term:
T(r+1) = C(n,r) · a^(n−r) · b^r · x^(n−r)

Pascal's Row n:
C(n,0), C(n,1), ..., C(n,n)