x^4/(x^4-18x^2+81)

asked by guest
on Oct 28, 2024 at 8:21 am



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

\[\frac{{x}^{4}}{{x}^{4} - 18 \cdot {x}^{2} + 81} = \frac{x^{4}}{\left(x - 3\right)^{2} \left(x + 3\right)^{2}}\]