Question

What is meant by cubing a binomial?

Answer 1

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

Explanation:

`(x + y)^3 = x^3 + 3x^2y + 3xy^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.