$\lim_{x\to3}\frac{\left(\sqrt{12-x}-x\right)}{\sqrt{6-x}-3}$

$\int\left(9x\left(2x+1\right)^2\right)dx$

$\left(\frac{2}{3}x^{\frac{1}{2}}-\frac{1}{2}y^{\frac{-2}{3}}\right)^3$

$\frac{48a^7b^{10}c^{12}}{96a^5b^5c^2}$

$3x^-3$

$4x^3-6x+3x+2-6$

$\left(z-6\right)\left(z+5\right)$