Find the derivative using logarithmic differentiation method $\frac{d}{dx}\left(\frac{\sqrt{x^2+2}}{x^2-2}\right)$

$factor\left(121+198x^6+81x^{12}\right)$

$factor\left(27x^3+135x^2+225x+125\right)$

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

$factor\left(x^3-3x^2-4x+12\right)$

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

$factor\left(x^2-2x\cdot y+y^2\right)$

$factor\left(x^2-2xy+y^2\right)$