Multiply and simplify: \( -3 x^{2}\left(x^{3}+2 x-5\right) \)

To multiply and simplify the expression \( -3 x^{2}\left(x^{3}+2 x-5\right) \), follow these steps: 1. **Distribute \(-3x^2\) to each term inside the parentheses:** \[ -3x^2 \cdot x^3 + (-3x^2) \cdot 2x + (-3x^2) \cdot (-5) \] 2. **Multiply each term:** - \( -3x^2 \cdot x^3 = -3x^{2+3} = -3x^5 \) - \( -3x^2 \cdot 2x = -6x^{2+1} = -6x^3 \) - \( -3x^2 \cdot (-5) = 15x^2 \) 3. **Combine the results:** \[ -3x^5 - 6x^3 + 15x^2 \] **Final Simplified Expression:** \[ -3x^5 - 6x^3 + 15x^2 \]