Question

Pascal's triangle calculator expand.

A) Pascal's triangle expansion
B) Pascal's triangle coefficients
C) Binomial expansion tool
D) Binomial coefficients calculator

Answer 1

Binomial expansion is a method used to expand binomial expressions, expressed as a sum of terms following the binomial theorem. It involves calculating binomial coefficients.

The Correct option is; C) Binomial expansion tool

Step-by-step explanation:

Binomial Expansion

Binomial expansion is a method used to expand binomial expressions. It allows us to express an algebraic quantity as a sum of terms. The binomial expansion follows the binomial theorem, which states that for any two numbers a and b, and any positive integer n, the expansion of (a + b)^n can be expressed as:

(a + b)^n = C(n,0) + C(n,1)a^1b^(n-1) + C(n,2)a^2b^(n-2) + ... + C(n,n)a^n

where C(n,k) represents the binomial coefficient, which can be calculated using the formula:

C(n,k) = n! / (k!(n-k)!)