$\int\:\frac{x-3}{x^3+2x^2}dx$

$2\left(x\:-\:5\right)\:=\:x\:-\:4$

$\int\frac{x^4}{\left(9-x^2\right)^{\frac{3}{2}}}dx$

$\left(2^{-1}a^3b^{-2}\right)^{-4}\left(3a^{-5}b^5\right)$

$\left(y^2+y=\ln\left(x\right)\right)$

$2x^2yz-2xyz+2x^2y^2$

$\left(\left(2a-1\right)\left(2a^2+a\right)-4a\right)\left(2a-1\right)$