$\ln\left(x^{z-w}\right)=z\ln x-w\ln x$

$\cot\left(x\right)\left(\sec\left(x\right)+\tan\left(x\right)\right)=\csc\left(x\right)+1$

$3cos\left(x+y\right)\:+\:3cos\left(x-y\right)=6cos\left(x\right)cos\left(y\right)$

$\frac{n^2}{n}$

$35u^2y^2+49$

$\int x^3\left(x^2-1\right)dx$

$\frac{dy}{dx}\left(\:x\sqrt{x^2\:+\:41}\right)$