1. **State the problem:** Simplify the expression $$\frac{144x^3 y^7}{-18x^5 y - 11}$$. 2. **Analyze the denominator:** The denominator is $$-18x^5 y - 11$$, which is a sum of two terms and cannot be factored easily with the numerator. 3. **Simplify the numerator and denominator separately:** - Numerator: $$144x^3 y^7$$ - Denominator: $$-18x^5 y - 11$$ 4. **Check for common factors:** - The numerator has factors $$144, x^3, y^7$$. - The denominator has terms $$-18x^5 y$$ and $$-11$$. 5. **Since the denominator is a sum, we cannot factor out common terms from the entire denominator.** 6. **However, if we consider the fraction as is, no further simplification by factoring is possible because the denominator is not a single term or factorable expression that shares factors with the numerator.** 7. **Therefore, the expression remains:** $$\frac{144x^3 y^7}{-18x^5 y - 11}$$ **Final answer:** $$\frac{144x^3 y^7}{-18x^5 y - 11}$$