a^3 - 5a^2 + 8a -4 divided by a - 2
You asked:
Evaluate the expression: \({a}^{3} - 5 {a}^{2} + 8 a - \frac{4}{a} - 2\)
MathBot Answer:
Evaluated
\(\displaystyle {a}^{3} - 5 {a}^{2} + 8 a - \frac{4}{a} - 2 = a^{3} - 5 a^{2} + 8 a - 2 - \frac{4}{a} \)
Factored
\[{a}^{3} - 5 {a}^{2} + 8 a - \frac{4}{a} - 2 = \frac{\left(a - 2\right) \left(a^{3} - 3 a^{2} + 2 a + 2\right)}{a}\]