Coefficients for binomial expansion
Generate coefficients of (ax+b)ⁿ, from highest power to lowest.
Your numbers
Coefficients from highest power to lowest
Use consistent units. Result follow the assumptions wey you enter.
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Formula
For (ax+b)^n, di coefficient of x^(n−k) na C(n,k)a^(n−k)b^k. a and b na di constants wey you enter, n na nonnegative integer power, and k run from zero reach dat power. C(n,k) na binomial coefficient.
Generate coefficients of (ax+b)ⁿ, from highest power to lowest.
Example wey show the calculation
- Coefficient wey be a
- 1
- Constant wey be b
- 1
- Power wey be n
- 3
- Coefficients from highest power to lowest
- 1, 3, 3, 1
Where e fit work and limits
Use consistent units. Result follow the assumptions wey you enter.
We check inputs for missing values and allowed ranges. Result wey pass the finite numeric range no go show. Rounding affect wetin display, while calculation use the model numeric precision.
Check your units and assumptions before you rely on result. Changing label no convert currency or physical unit.
Version of di formula: bb186fe99c39 · Example don get check: