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