$2\sin^2x=3\cos x$

$3xvdv+\left(2v^2-1\right)dx=0$

$\lim_{x\to\frac{\pi}{2}}\left(\pi^2-4x^2\right)tanx$

$\frac{\sin\left(x-y\right)}{\sin\left(x\right)\cos\left(y\right)}$

$\frac{6x^3+2x^2-9x-3}{\frac{x}{2}+\frac{1}{6}}$

$5\:\left(7\:-\:9h\right)$

$2\log_{8}a-\log_{8}c-3\log_{8}b$