$\left(a^2\right)\left(3a^{x-2}\right)$

$1-2\cos^2x+\cos^4$

$\lim_{x\to0}\left(\frac{sin\left(\frac{1-cos\left(\pi x\right)}{x}\right)}{x}\right)$

$\frac{x+2}{2x+6}\:+\frac{8}{x+5}$

$\int\left(\frac{-2}{x^6}\right)dy$

$100\frac{dy}{dx}+\frac{1}{0.0001}y=12$

$\frac{x+3}{2}-\frac{2\left(x+5\right)}{7}\le\frac{3\left(2x+5\right)}{4}$