Rationalize the denominator $\frac{2a}{\sqrt{2ax}}$

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

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

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

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

$\frac{\frac{4a}{5}\left(16a\cdot b\right)^{\frac{1}{3}}}{\frac{18b}{10a}\sqrt{2a^2 b^5}}$

$\frac{4}{\frac{t-4}{3\left(\sqrt{t}-2\right)}}$

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