$xy'\:=x\left(y^2+1\right)$

$\frac{1}{z\left(z+1\right)}$

$\left(a^{-1}+b^{-1}\right)^2-\left(a^{-1}-b^{-1}\right)^2$

$\left(\left(48-60\right)+\left(7-\left(-4\right)\right)-\left(-35-17\right)\right)$

$\int\frac{x}{9x^2-1}dx$

$\frac{x^{24}+1}{x^5+1}$

$\frac{\left(x^2+6\right)}{x^2-1x}$