1. We are asked to simplify or resolve the expression $x + \frac{3}{(x - 2)^2}$. 2. The expression consists of two terms: $x$, which is a linear term, and $\frac{3}{(x - 2)^2}$, which is a rational expression. 3. Since the denominator $(x - 2)^2$ cannot be zero, the expression is undefined at $x = 2$. 4. There is no further factorization or simplification possible because $x$ and $\frac{3}{(x - 2)^2}$ are unlike terms. 5. Therefore, the expression $x + \frac{3}{(x - 2)^2}$ remains as is, with domain all real numbers except $x = 2$. Final result: $$x + \frac{3}{(x - 2)^2}$$