(2x^3-2x^2+1)/(x^2-x)
You asked:
Evaluate the expression: \(\frac{2 \cdot {x}^{3} - 2 \cdot {x}^{2} + 1}{{x}^{2} - x}\)
MathBot Answer:
Evaluated
\(\displaystyle \frac{2 \cdot {x}^{3} - 2 \cdot {x}^{2} + 1}{{x}^{2} - x} = \frac{2 x^{3} - 2 x^{2} + 1}{x^{2} - x} \)
Expanded
\[\frac{2 \cdot {x}^{3} - 2 \cdot {x}^{2} + 1}{{x}^{2} - x} = \frac{2 x^{3}}{x^{2} - x} - \frac{2 x^{2}}{x^{2} - x} + \frac{1}{x^{2} - x}\]
Factored
\[\frac{2 \cdot {x}^{3} - 2 \cdot {x}^{2} + 1}{{x}^{2} - x} = \frac{2 x^{3} - 2 x^{2} + 1}{x \left(x - 1\right)}\]