Binomial Theorem

Binomial theorem for positive integers. This tool expands powers of sums using the binomial theorem formula.

Calculator

Inputs

x (first term)

y (second term)

n (power)

Results

Binomial Expansion Result--

Term	Coefficient	x Power	y Power	Term Value
0	1	n	0	x^n
1	n	n-1	1	nx^(n-1)y
2	n(n-1)/2!	n-2	2	n(n-1)/2!x^(n-2)y^2
3	n(n-1)(n-2)/3!	n-3	3	n(n-1)(n-2)/3!x^(n-3)y^3