Final answer:
The binomial theorem is a mathematical tool used in algebra to expand binomial expressions raised to a power.
Step-by-step explanation:
The binomial theorem is a mathematical tool used in algebra to expand binomial expressions raised to a power. It helps in simplifying calculations by providing a formula to find the coefficients of each term in the expansion. The formula for the binomial theorem is:
(a + b)^n = C(n,0)a^n + C(n,1)a^(n-1)b + C(n,2)a^(n-2)b^2 + ... + C(n,n-1)ab^(n-1) + C(n,n)b^n
Where C(n,k) represents the combination of choosing k items from a set of n items.