# Algebra II: Raise Binomials to a Power

A *binomial* is a mathematical expression that has two terms. In algebra, people frequently raise binomials to powers in order to solve equations. Here are some examples:

(

a+b)^{0}= 1

(

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}

(

a+b)^{5}=a^{5}+ 5a^{4}b+ 10a^{3}b^{2}+ 10a^{2}b^{3}+ 5ab^{4}+b^{5}