To find the constant term in the expansion of binomial (x + Z / X-2), the general term formula method is used, Yes (x + 1 / X-2)

To find the constant term in the expansion of binomial (x + Z / X-2), the general term formula method is used, Yes (x + 1 / X-2)

Find the constant term in the expansion of binomial (x + 1 / X-2) ^ n = [(x-1) ^ 2 / x] ^ n = (x-1) ^ 2n / x ^ n = (- 1) ^ (2n) * [(1-x) ^ 2n] / x ^ n = {1 / x ^ n} * {1-2nx + 2n * (2n-1) * x ^ 2 / 2! +... + [(- 1) ^ k] * [(2n)!] * [x ^ k] / [(2n-k)! K!] +..., K ≤ 2n (Taylor series expansion) k