-(x^2-x+x^3)-(2x^3-3x^2+4x)+(3x^3-5x^2-x)

To simplify the given expression, we need to combine like terms. Let's break it down step by step:<br /><br />Given expression:<br />\[ -(x^2 - x + x^3) - (2x^3 - 3x^2 + 4x) + (3x^3 - 5x^2 - x) \]<br /><br />First, distribute the negative sign in the first term:<br />\[ -x^2 + x - x^3 - 2x^3 + 3x^2 - 4x + 3x^3 - 5x^2 - x \]<br /><br />Next, combine like terms:<br />- For \(x^3\) terms: \(-x^3 - 2x^3 + 3x^3 = 0\)<br />- For \(x^2\) terms: \(-x^2 + 3x^2 - 5x^2 = -3x^2\)<br />- For \(x\) terms: \(x - 4x - x = -4x\)<br /><br />So, the simplified expression is:<br />\[ -3x^2 - 4x \]<br /><br />Therefore, the final answer is:<br />\[ -(x^2 - x + x^3) - (2x^3 - 3x^2 + 4x) + (3x^3 - 5x^2 - x) = -3x^2 - 4x \]