$\lim_{x\to4}\left(\frac{x-16}{x^2+2x-24}\right)$

$11x\:-14=\:2x\:-5$

$\left(e^x-1\right)\left(1+e^{-x}\right)$

$\int\frac{x^3-2x^2+3x+2}{x\left(x^2+2\right)^2}dx$

$\frac{d}{dx}\left(sin^{-1}\left(\sqrt{2x}\right)=y\right)$

$-8xy+8x-7xy-3x-2x+5xy$

$4a\left(a+b\right)+b\left(b-c\right)-2ac$