Simplify. \( \frac{\frac{10 x^{5}}{x-3}}{\frac{5 x^{4}}{x+3}} \)

Calculate or simplify the expression \( \frac{\frac{10x^5}{x-3}}{\frac{5x^4}{x+3}} \). Simplify the expression by following steps: - step0: Solution: \(\frac{\frac{10x^{5}}{x-3}}{\frac{5x^{4}}{x+3}}\) - step1: Multiply by the reciprocal: \(\frac{10x^{5}}{x-3}\times \frac{x+3}{5x^{4}}\) - step2: Reduce the fraction: \(\frac{2x}{x-3}\times \left(x+3\right)\) - step3: Multiply the terms: \(\frac{2x\left(x+3\right)}{x-3}\) - step4: Multiply the terms: \(\frac{2x^{2}+6x}{x-3}\) The simplified form of the expression \( \frac{\frac{10x^5}{x-3}}{\frac{5x^4}{x+3}} \) is \( \frac{2x^{2}+6x}{x-3} \).