Step 1 :First, we can simplify the numerator by applying the exponent rules and then combining the terms: \(x^{4} + x^{5} = x^{4}(x + 1)\)
Step 2 :Now that we have simplified the numerator, we can simplify the entire expression by dividing the simplified numerator by the denominator \(x^{3}\): \(\frac{x^{4}(x + 1)}{x^{3}}\)
Step 3 :Final Answer: \(\boxed{x(x+1)}\)