$\lim_{x\to1}\left(3+\frac{\left|1-x\right|}{x-1}\right)$

$\frac{d}{dx}\frac{3x^2-1}{x-2}$

$\frac{\left(3x+8\right)}{\left(x^2+5x+6\right)}dx-\frac{\left(4y\right)}{\left(y^2+4\right)}dy\:=0$

$\left(\frac{dy}{dx}\right)=2x$

$\lim_{x\to-2}\left(\frac{x+2}{2x^2-3x-10}\right)$

$18v=-270$

$\left(12a-5\right)\left(12a+5\right)$