3^(2x-1) + 3^(2x+1) + 3^(2x+2) =

3^(2x-1) can be rewritten as 3^(2x) * 3^(-1)3^(2x+1) can be rewritten as 3^(2x) * 3^13^(2x+2) can be rewritten as 3^(2x) * 3^2

Thus, the expression becomes:

3^(2x) 3^(-1) + 3^(2x) 3^1 + 3^(2x) * 3^2

Factor out the common term 3^(2x):

3^(2x) * (3^(-1) + 3^1 + 3^2)

Now we can calculate the individual terms:

3^(-1) + 3^1 + 3^2 = 1/3 + 3 + 9 = 1/3 + 9/3 + 27/3 = 37/3

So the simplified expression is:

3^(2x) 37/3 or 37/3 3^(2x)