$\int\frac{ln\left(x\right)}{x^9}dx$

$\frac{d}{dx}\left(ln\left(x+\sqrt{x^2+k}\right)\right)$

$\left(4a^2b-3c^3\right)\left(4a^2b+3c^3\right)$

$\left(2y^3+\frac{1}{5}x\right)\left(3y-\frac{1}{4}x\right)$

$-2x^2y\left(5x^{-2}y^2-4x^{-4}y\right)$

$-3x^2y+12xy^2$

$\frac{\left(x^2-x-8\right)}{\left(x+1\right)\left(x^2-x+6\right)}$