x^4/(x^4-18x^2+81)
You asked:
Evaluate the expression: \(\frac{{x}^{4}}{{x}^{4} - 18 \cdot {x}^{2} + 81}\)
MathBot Answer:
Evaluated
\(\displaystyle \frac{{x}^{4}}{{x}^{4} - 18 \cdot {x}^{2} + 81} = \frac{x^{4}}{x^{4} - 18 x^{2} + 81} \)
Expanded
\[\frac{{x}^{4}}{{x}^{4} - 18 \cdot {x}^{2} + 81} = \frac{x^{4}}{x^{4} - 18 x^{2} + 81}\]
Factored
\[\frac{{x}^{4}}{{x}^{4} - 18 \cdot {x}^{2} + 81} = \frac{x^{4}}{\left(x - 3\right)^{2} \left(x + 3\right)^{2}}\]