$4x^4-4x^3+4x^2$

$\frac{3x^3-x^2-4x+12}{x+2}$

$\lim_{x\to\infty}\left(\frac{sin^2\left(2x\right)}{-2xcos\left(2x\right)}\right)$

$8\left(b+1\right)$

$4\sqrt{18x}\cdot2\sqrt{45x^3}\cdot\sqrt{75x^6}$

$\left(x^{\frac{1}{3}}+y^{\frac{1}{3}}\right)\left(x^{\frac{1}{3}-y^{\frac{1}{3}}}\right)$

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