$\frac{3x^4-24x^2+\left(3\right)x-5}{x-3}$

$10=x-9$

$2\sqrt{27x^2}-4\sqrt{12x^3}$

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

$tan\left(-t^2+1\right)=-tan\left(t^2-1\right)$

$\int\frac{\cos\left(5x\right)}{\sin\left(5x\right)}dx$

$\lim_{x\to\pi}\left(sin\:2x\right)$