What is meant by cubing a binomial?

1 Answer
Aug 29, 2015

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


#(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.