6(6x^3 +9)^-2/3
You asked:
Evaluate the expression: \(\frac{6 \cdot {\left( 6 \cdot {x}^{3} + 9 \right)}^{-2}}{3}\)
MathBot Answer:
Evaluated
\(\displaystyle \frac{6 \cdot {\left( 6 \cdot {x}^{3} + 9 \right)}^{-2}}{3} = \frac{2}{\left(6 x^{3} + 9\right)^{2}} \)
Expanded
\[\frac{6 \cdot {\left( 6 \cdot {x}^{3} + 9 \right)}^{-2}}{3} = \frac{2}{36 x^{6} + 108 x^{3} + 81}\]
Factored
\[\frac{6 \cdot {\left( 6 \cdot {x}^{3} + 9 \right)}^{-2}}{3} = \frac{2}{9 \left(2 x^{3} + 3\right)^{2}}\]