(3x^2 + 4 / x + 2)^2
You asked:
Evaluate the expression: \({\left( 3 \cdot {x}^{2} + \frac{4}{x} + 2 \right)}^{2}\)
MathBot Answer:
Evaluated
\(\displaystyle {\left( 3 \cdot {x}^{2} + \frac{4}{x} + 2 \right)}^{2} = \left(3 x^{2} + 2 + \frac{4}{x}\right)^{2} \)
Expanded
\[{\left( 3 \cdot {x}^{2} + \frac{4}{x} + 2 \right)}^{2} = 9 x^{4} + 12 x^{2} + 24 x + 4 + \frac{16}{x} + \frac{16}{x^{2}}\]
Factored
\[{\left( 3 \cdot {x}^{2} + \frac{4}{x} + 2 \right)}^{2} = \frac{\left(3 x^{3} + 2 x + 4\right)^{2}}{x^{2}}\]