# What is meant by cubing a binomial?

Aug 29, 2015

Cubing a binomial means raising a binomial to the third power.

#### Explanation:

${\left(x + y\right)}^{3} = {x}^{3} + 3 {x}^{2} y + 3 x {y}^{2} + {y}^{3}$

The formula for the coefficient of each term is

(x+y)^3 = sum_(k=0)^3 (3!)/((3-k)!k!)x^(3-k)y^k

The sum of the exponents in each term equals $3$.

Also, the fourth row of Pascal's triangle gives the coefficients of the terms.