$\int\frac{1}{\left(x^2-8\right)}dx$

$\frac{-\csc^2\left(x\right)-1}{1-\cos^2\left(x\right)}$

$\lim\:_{\delta\:\:x\to\:0}\frac{\frac{1}{x+\delta\:\:x}-\frac{1}{x}}{\delta\:\:x}$

$2a^4-6a^2+10n^3$

$\sqrt{\frac{x^{3a}}{y^{9a}}}$

$4z^2-36z+81$

$\left(3x+\sqrt{2}y\:+z\right)^2$