(-5x ^ { 3 } +2x ^ { 2 } -x+3) \div (x-2)

asked by guest
on Mar 26, 2025 at 8:27 pm



You asked:

Evaluate the expression: −(5x3)+2x2−x+3x−2\frac{-\left( 5 {x}^{3} \right) + 2 {x}^{2} - x + 3}{x - 2}

MathBot Answer:

Evaluated



−(5x3)+2x2−x+3x−2=−5x3+2x2−x+3x−2\displaystyle \frac{-\left( 5 {x}^{3} \right) + 2 {x}^{2} - x + 3}{x - 2} = \frac{- 5 x^{3} + 2 x^{2} - x + 3}{x - 2}

Expanded

−(5x3)+2x2−x+3x−2=−5x3x−2+2x2x−2−xx−2+3x−2\frac{-\left( 5 {x}^{3} \right) + 2 {x}^{2} - x + 3}{x - 2} = - \frac{5 x^{3}}{x - 2} + \frac{2 x^{2}}{x - 2} - \frac{x}{x - 2} + \frac{3}{x - 2}

Factored

−(5x3)+2x2−x+3x−2=−5x3−2x2+x−3x−2\frac{-\left( 5 {x}^{3} \right) + 2 {x}^{2} - x + 3}{x - 2} = - \frac{5 x^{3} - 2 x^{2} + x - 3}{x - 2}

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