$\int\frac{1}{\left(v-1\right)\cdot\left(v+1\right)}dv$

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

$\left(3x-x\right)^8$

$3x^2-7x+1$

$\frac{\cos\left(x\right)}{\sin\left(x\right)}-\sin\left(x\right)=\csc\left(x\right)$

$x^2+6x-16$

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