$\sec\left(x\right)^2\cdot\tan\left(x\right)^2\cdot\csc\left(x\right)^2$

$\frac{3}{x+1}-\frac{2}{x^2-1}+\frac{x}{x-1}$

$\frac{dy}{dx}=-\frac{y}{x\left(\ln\left(x\right)-\ln\left(y\right)-1\right)}$

$\frac{dy}{dt}=\frac{\left(2y\right)}{t+1}$

$\left(x+1\right)^2\left(x-2\right)^2$

$\frac{dy}{dx}+y\left(cos\left(x\right)\right)=0$

$a\left(c+d\right)+\:b\left(a+b\right)+c\left(b+c\right)$