$\frac{ab+b^2}{mb+nb^2}+\frac{-a-b}{m+nb}$

$-\frac{2x^3}{3}+\frac{5y^3}{12}$

$12a^2b^3c-24ab^2c^2+48ab^3c^3-36abc^2$

$\left(cot\:x-1\right)^2=csc^2x-2cotx$

$2\int\frac{sec^3}{tanx}dx$

$\left(x^2+5\right)\left(x^2+5\right)$

$\int\frac{sin\left(3x\right)}{4-cos\left(3x\right)}dx$