$\lim_{x\to1}\left(\frac{\left|x\right|-\left|x-2\right|}{x+1}\right)$

$y=\left(\frac{1}{2}\right)^{-2}$

$\sqrt{2}\cos\left(x-\frac{\pi}{4}\right)=\sin\left(x\right)+\cos\left(x\right)$

$\left(3x-2y\right)^2-\left(2x-3y\right)^2$

$\int x^6\left(6+x^7\right)^3dx$

$x^2+5y\frac{dy}{dx}=0$

$\left(p-2\right)^2$