$((1/3x)+2x²)^{4}$
You asked:
Evaluate the expression: \({\left( \frac{1}{3 x} + 2 \cdot {x}^{2} \right)}^{4}\)
MathBot Answer:
Evaluated
\(\displaystyle {\left( \frac{1}{3 x} + 2 \cdot {x}^{2} \right)}^{4} = \left(2 x^{2} + \frac{1}{3 x}\right)^{4} \)
Expanded
\[{\left( \frac{1}{3 x} + 2 \cdot {x}^{2} \right)}^{4} = 16 x^{8} + \frac{32 x^{5}}{3} + \frac{8 x^{2}}{3} + \frac{8}{27 x} + \frac{1}{81 x^{4}}\]
Factored
\[{\left( \frac{1}{3 x} + 2 \cdot {x}^{2} \right)}^{4} = \frac{\left(6 x^{3} + 1\right)^{4}}{81 x^{4}}\]