$\frac{1}{3x^2-3}-\frac{2}{2x+2}+\frac{x+5}{x+1}$

$11a^2-22a$

$\int\frac{-6}{\left(5x+2\right)^2}dx$

$ab\sqrt[12]{a^5}$

$\frac{2\frac{1}{2}+3}{\sqrt[2]{1-2\frac{1}{2}}}$

$\left(27x^3+8y^3\right)^2$

$\left(2^3\right)^2+2^{3^2}-\left(-2^3\right)^2+\:\left(-2^2\right)$