1. **State the problem:** Simplify or analyze the expression $$ (2x^2 + 3) \cos(x^2) + \tan(5x^2) $$. 2. **Recall the functions involved:** - Polynomial term: $2x^2 + 3$ - Trigonometric functions: cosine and tangent 3. **No further simplification is possible without specific values for $x$.** 4. **If evaluating for a specific $x$, substitute and compute:** - Compute $x^2$ - Compute $\cos(x^2)$ - Compute $\tan(5x^2)$ - Multiply $2x^2 + 3$ by $\cos(x^2)$ - Add the result to $\tan(5x^2)$ 5. **This expression combines polynomial and trigonometric functions and is typically used in calculus or analysis contexts.**