What is meant by cubing a binomial?

1 Answer
Ernest Z.
Aug 29, 2015

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

Explanation:

(x + y)^3 = x^3 + 3x^2y + 3xy^2 + y^3(x+y)3=x3+3x2y+3xy2+y3

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(x+y)3=3∑k=03!(3−k)!k!x3−kyk

The sum of the exponents in each term equals 33.

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

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