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

$4\ln\left(x\right)+\ln\left(y\right)+\frac{\ln\left(x\right)}{3}+\frac{\ln\left(y+3\right)}{3}$

$\left(x-2\right)^2+\left(x-2\right)\left(x+2\right)-2x^2$

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

$3\left(c-2\right)+2$

$\frac{d}{dx}\:\sqrt{xy}=x^2y-2$

$\int\frac{6x^5}{\left(x^3-3\right)^{-6}}dx$