# Newton’s Binomial Theorem

## Newton’s Binomial Theorem

A formula that can be used to find the coefficient of any term in the expansion of the nth power of a binomial of the form (a + b).

The coefficients of the expansion of (a + b)$$^{n}$$ can be obtained using the numbers from Pascal’s triangle.

### Examples

(a + b)$$^{1}$$ = (a + b)

(a + b)$$^{2}$$ = a$$^{2}$$ + 2ab + b$$^{2}$$

(a + b)$$^{3}$$ = a$$^{3}$$ + 3a$$^{2}$$b + 3ab$$^{2}$$ + b$$^{3}$$

(a + b)$$^{4}$$ = a$$^{4}$$ + 4a$$^{3}$$b + 6a$$^{2}$$b$$^{2}$$ + 4ab$$^{3}$$ + b$$^{4}$$