$\lim_{x\to0}\left(\frac{\sin^2\left(3x\right)\tan\left(\frac{1}{2}x\right)}{x^3}\right)$

$2x+16x^2+72x^3+256x^4+800x^5$

$\int2x^3lnx^2dx$

$\left(\:x\:+\:3\right)\left(2x\:+\:7\right)$

$\left(x-y\right)+\left(2x-z+3y\right)+\left(5y-4x\right)$

$g^2-41g+400$

$\int\frac{\left(1+z^2\right)^2}{z^2}\cdot dz$