1. **State the problem:** Simplify or analyze the expression $2\sin(x^3)(x^2 - 1)$. 2. **Understand the components:** The expression is a product of three parts: a constant 2, the sine of $x^3$, and the polynomial $(x^2 - 1)$. 3. **Recall important rules:** - The sine function is applied to $x^3$, so $\sin(x^3)$ means sine of $x$ cubed. - The polynomial $x^2 - 1$ can be factored as $(x-1)(x+1)$. 4. **Rewrite the expression:** $$2 \sin(x^3)(x^2 - 1) = 2 \sin(x^3)(x-1)(x+1)$$ 5. **Interpretation:** This expression is already simplified in terms of elementary functions. It can be evaluated for specific values of $x$ or analyzed for roots and behavior. 6. **Summary:** The expression is $2 \sin(x^3)(x-1)(x+1)$, which combines trigonometric and polynomial factors. **Final answer:** $$2 \sin(x^3)(x-1)(x+1)$$