$\frac{d}{dx}x^2\sqrt{xy}-y^2=52$

$\lim\:_{x\to\:0\:}\left(-\frac{2ln\left(2x\right)-4}{\sqrt{x}}\right)$

$\left(\frac{a+b+1}{4}\right)^{-2}$

$\left(5m+10\right)\left(2n+5\right)=\left(5m-50\right)\left(2n+9\right)$

$\left(y+\frac{1}{50}\right)\left(y-\frac{1}{50}\right)$

$-\left(p+7\right)$

$\frac{dy}{dx}=\frac{xy-4y}{x^3}$