The constant term of a binomial expansion of nth order `(x+a)^n` is iven by `a^n` .

Therefore the constant term `= 2^9`

`= 512`

**Therefore the constant term of `(x+2)^9` is 512.**

**Further Reading**

The binomial expansion states `(a+b)^n=sum_(k=0)^n(nCk)a^(n-k)b^k`

In our case `(x+2)^9=sum_(k=0)^9(9Ck)x^(9-k)2^k`

The only term without x will be when k=9 => x^0=1. Hence that term will be equal to `9C9*1*2^9=1*1*512=512`

So the only constant is 512