$$81x^{4}+\frac{1}{81x^{4}}-11$$
$81x^{4}-11+\frac{1}{81x^{4}}$
$$\frac{\left(81x^{4}-11\right)\times 81x^{4}}{81x^{4}}+\frac{1}{81x^{4}}$$
$$\frac{\left(81x^{4}-11\right)\times 81x^{4}+1}{81x^{4}}$$
$$\frac{6561x^{8}-891x^{4}+1}{81x^{4}}$$
$$\frac{6561\left(x^{4}-\left(-\frac{1}{54}\sqrt{13}+\frac{11}{162}\right)\right)\left(x^{4}-\left(\frac{1}{54}\sqrt{13}+\frac{11}{162}\right)\right)}{81x^{4}}$$
$$\frac{81\left(x^{4}-\left(-\frac{1}{54}\sqrt{13}+\frac{11}{162}\right)\right)\left(x^{4}-\left(\frac{1}{54}\sqrt{13}+\frac{11}{162}\right)\right)}{x^{4}}$$
$$\frac{81\left(x^{4}+\frac{1}{54}\sqrt{13}-\frac{11}{162}\right)\left(x^{4}-\left(\frac{1}{54}\sqrt{13}+\frac{11}{162}\right)\right)}{x^{4}}$$
$$\frac{81\left(x^{4}+\frac{1}{54}\sqrt{13}-\frac{11}{162}\right)\left(x^{4}-\frac{1}{54}\sqrt{13}-\frac{11}{162}\right)}{x^{4}}$$
$$\frac{\left(81x^{4}+\frac{3}{2}\sqrt{13}-\frac{11}{2}\right)\left(x^{4}-\frac{1}{54}\sqrt{13}-\frac{11}{162}\right)}{x^{4}}$$
$$\frac{81x^{8}-11x^{4}-\frac{1}{36}\left(\sqrt{13}\right)^{2}+\frac{121}{324}}{x^{4}}$$
$$\frac{81x^{8}-11x^{4}-\frac{1}{36}\times 13+\frac{121}{324}}{x^{4}}$$
$$\frac{81x^{8}-11x^{4}-\frac{13}{36}+\frac{121}{324}}{x^{4}}$$
$$\frac{81x^{8}-11x^{4}+\frac{1}{81}}{x^{4}}$$
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$\frac{81\left(x^{4}-\left(-\frac{\sqrt{13}}{54}+\frac{11}{162}\right)\right)\left(x^{4}-\left(\frac{\sqrt{13}}{54}+\frac{11}{162}\right)\right)}{x^{4}}$
