Question

Expansion of binomial power calculator.

A) Use the binomial theorem
B) Apply synthetic division
C) Factor the binomial
D) Apply the quadratic formula

Answer 1

The expansion of a binomial power can be calculated using the binomial theorem, which involves using combinations. Each term in the expansion can be found by using the binomial coefficient.

Step-by-step explanation:

The expansion of a binomial power can be calculated using the binomial theorem. The binomial theorem states that (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-2)a^2b^(n-2) + C(n,n-1)ab^(n-1) + C(n,n)b^n, where C(n,k) is the binomial coefficient. This formula allows us to find each term in the expansion by using combinations.

For example, if we want to expand (x + y)^3, we can use the binomial theorem to find each term in the expansion: (x + y)^3 = C(3,0)x^3 + C(3,1)x^2y + C(3,2)xy^2 + C(3,3)y^3 = x^3 + 3x^2y + 3xy^2 + y^3.

Therefore, the correct option to use when expanding a binomial power is A) Use the binomial theorem.