• # Binomial Theorem

Binomial theorem is used to expand a binomial equation to some large power. A binomial equation is a polynomial equation with two variables only as shown in this general form (±a.X ±b.Y)n, where X and Y are the two variables. The binomial theorem is a quick method of expanding using the binomial formula to the right and/or the Pascal Triangle to the far right.
Another way to expand a binomial is to multiply the binomial in the form (±a.X ±b.Y)n by itself n time.

Use the following program to expand binomial equations to any positive power n.

## Binomial Theorem & Pasacal Triangle  ## Binomial Equation Tool

The following program allows the user to expand a binomial equation using the binomial theorem of expansion.

### How to use the program

Enter the different parts of the binomial in the following text boxes as indicated. The binomial equation should be in the general form: (±a.X ±b.Y)n where a and b are the coefficients of the variables X and Y respectively. If any of the constants a and b or variables X and Y did not exist, they must be left blank, NOT entered as zeros. n is the positive power to which the binomial is raised.

### Binomial Equation Settings

 First Term Sign : + - First Term Coefficient a: First Term letter: Second Term Sign: + - Second Term Coefficient b: Second Term letter: Raise to Power n: Show details of expansion