Solve this? \( \frac{3 x\left(x+x^{2}\right)}{3 x\left(x^{4}\right)} \)

Simplify the expression by following steps: - step0: Solution: \(\frac{3x\left(x+x^{2}\right)}{3x\times x^{4}}\) - step1: Reduce the fraction: \(\frac{x\left(x+x^{2}\right)}{x\times x^{4}}\) - step2: Reduce the fraction: \(\frac{\left(x+x^{2}\right)}{x^{4}}\) - step3: Remove the parentheses: \(\frac{x+x^{2}}{x^{4}}\) - step4: Factor: \(\frac{x\left(1+x\right)}{x^{4}}\) - step5: Reduce the fraction: \(\frac{1+x}{x^{3}}\) To simplify the expression \[ \frac{3 x\left(x+x^{2}\right)}{3 x\left(x^{4}\right)}, \] we can follow these steps: 1. **Cancel common factors**: The numerator and denominator both have a common factor of \(3x\). We can cancel this out: \[ \frac{3 x\left(x+x^{2}\right)}{3 x\left(x^{4}\right)} = \frac{x+x^{2}}{x^{4}}. \] 2. **Factor the numerator**: The numerator \(x + x^2\) can be factored as \(x(1 + x)\): \[ \frac{x(1+x)}{x^{4}}. \] 3. **Simplify further**: Now we can cancel \(x\) from the numerator and denominator (assuming \(x \neq 0\)): \[ \frac{1+x}{x^{3}}. \] Thus, the simplified form of the expression is \[ \frac{1+x}{x^{3}}. \]