$\frac{6x^{5}-2}{3x^{2}+x^{9}}$
You asked:
Evaluate the expression: \(\frac{6 {x}^{5} - 2}{3 {x}^{2} + {x}^{9}}\)
MathBot Answer:
Evaluated
\(\displaystyle \frac{6 {x}^{5} - 2}{3 {x}^{2} + {x}^{9}} = \frac{6 x^{5} - 2}{x^{9} + 3 x^{2}} \)
Expanded
\[\frac{6 {x}^{5} - 2}{3 {x}^{2} + {x}^{9}} = \frac{6 x^{5}}{x^{9} + 3 x^{2}} - \frac{2}{x^{9} + 3 x^{2}}\]
Factored
\[\frac{6 {x}^{5} - 2}{3 {x}^{2} + {x}^{9}} = \frac{2 \cdot \left(3 x^{5} - 1\right)}{x^{2} \left(x^{7} + 3\right)}\]