Simplify the expression x^2n+x^(2n+1)+x^(3n+2).

To simplify the given expression, we'll have to factorize
it.

First, we'll write the term x^(2n+1) as it
follows:

x^(2n+1) =
x^2n*x

We'll re-write the term
x^(3n+2);

x^(3n+2) = x^3n*x^2 = x^(2n+n)*x^2 =
x^2n*x^n*x^2

We'll re-write the given
expression:

x^2n + x^2n*x +
x^2n*x^n*x^2

We'll factorize by
x^2n:

x^2n*(1 + x +
x^n*x^2)

The simplified form of the given
expression is: x^2n*(1 + x + x^n*x^2).