$\lim_{x\to0}\left(\frac{\sin\left(2x\right)}{2^x-\cos\left(x\right)}\right)$

$\frac{sin\left(-\frac{31\pi}{6}\right)cos\left(-10\pi\right)}{tan\left(\frac{59\pi}{6}\right)}$

$\left(5x+3y\right)\left(2x-3y\right)$

$\left(3x\:-\frac{2}{3}y\right)^2$

$\frac{x^5+x^2-9}{x+1}$

$\frac{4^{\frac{3}{2}}-4-4}{4^{\frac{3}{2}}-8}$

$1+\frac{1}{y}=x^{-1}e^c$