(x^5-x^3+x) / (x^2+2)
You asked:
Evaluate the expression: \(\frac{{x}^{5} - {x}^{3} + x}{{x}^{2} + 2}\)
MathBot Answer:
Evaluated
\(\displaystyle \frac{{x}^{5} - {x}^{3} + x}{{x}^{2} + 2} = \frac{x^{5} - x^{3} + x}{x^{2} + 2} \)
Expanded
\[\frac{{x}^{5} - {x}^{3} + x}{{x}^{2} + 2} = \frac{x^{5}}{x^{2} + 2} - \frac{x^{3}}{x^{2} + 2} + \frac{x}{x^{2} + 2}\]
Factored
\[\frac{{x}^{5} - {x}^{3} + x}{{x}^{2} + 2} = \frac{x \left(x^{4} - x^{2} + 1\right)}{x^{2} + 2}\]