$\int\frac{5}{x\left(x+1\right)^2}dx$

$\left(\sqrt{3}x-\sqrt{3}y\right)\left(\sqrt{3}x+\sqrt{3}y\right)$

$\left(6mn-8m\right)^3$

$\int\sin\left(8x\right)\cos\left(9x\right)dx$

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

$\frac{6x^3+24x^2+18x-12}{x+3}$

$\lim_{x\to1}\left(\ln\left(x^2\right)\right)^{x-1}$