What is the difference between binomial coefficient and binomial constant term

What is the difference between binomial coefficient and binomial constant term

Are you a quadratic term only? That is, X2 (two in the upper right corner)
Let's give an example
For example: 3x2 + 4x + 5
3 is the binomial coefficient. The constant term of binomial is 5

How to find the constant term of binomial X in exponent
(4 ^ X-2 ^ - x) ^ 6 x belongs to the constant term of R expansion

First find the constant term: (4 ^ X-2 ^ - x) ^ 6 = (2 ^ 2x-2 ^ - x) ^ 6
Constant term position: (2 ^ 2x) ^ 2 * (2 ^ - x) ^ 4 = 1
According to the binomial theorem: (a + b) ^ n = C (n, 0) a ^ NB ^ 0 + C (n, 1) a ^ (n-1) B ^ 1 + +C(n,n)a^0b^n
Coefficient of constant term: C (6,2) = 15

Constant term of binomial in Senior High School
How to calculate the constant term of (x ^ 2 + 1 / x ^ 2 + 2) ^ 5? According to the conventional algorithm, it doesn't seem to work

((x ^ 2 + 1 / x ^ 2) + 2) ^ 5 = (x + 1 / x ^ 2) ^ 5 * 2 ^ 0 + 10 * (x ^ 2 + 1 / x ^ 2) ^ 3 * 2 ^ 2 +. + 5 * (x ^ 2 + 1 / x ^ 2) * 2 ^ 4 + 2 ^ 5. The first, third and fifth items have no constant term. The constant term of the second item is 5 * 2 * 2 * 2 = 40, the constant term of the fourth item is 10 * 2 * 8 = 160, and the constant term of the sixth item is 2 ^ 5 = 32