5) $\frac{2 x^{3}+6 x^{2}}{x^{2}-x-20} \div \frac{x^{2}+6 x+9}{x^{2}-x-20}$ A) $\frac{2 x^{2}}{x+3}$ B) $\frac{6}{x+6}$ C) $\frac{35}{2}$ D) $\frac{7 x}{4(x+1)}$

Step 1 ：Rewrite the division as multiplication by the reciprocal: \(\frac{2 x^{3}+6 x^{2}}{x^{2}-x-20} \times \frac{x^{2}-x-20}{x^{2}+6 x+9}\)

Step 2 ：Simplify the expression by canceling out common factors: \(\frac{2 x^{2}(x+3)}{x+3}\)

Step 3 ：Final Answer: \(\boxed{\frac{2 x^{2}}{x+3}}\)