Find the constant term in (x+ (2 divided by x^2))^9?

Question

Find the constant term in (x+ (2 divided by x^2))^9?

Answer 1

Using the binomial theorem:

(x+(2/x^2))^9 =

x^9 + 9x^8(2/x^2) + 36 x^7(2/x^2)^2 + 84x^6(2/x^2)^3+...

The constant term is therefore

84*(2)^3=672