$\left(3x^2-2\right)\cdot\left(3x^3+2\right)$

$\int\frac{4x^3+7x^2+12x+20}{x^4+4x^2}dx$

$5x^4-3x^3+2x^2-7x+3$

$\frac{d}{dx}2e^x$

$\sqrt{x+\sqrt{x+\sqrt{x}}\cdot\sqrt{x}}$

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

$\lim_{x\to1}\left(\frac{x^2-6x+5}{2x^2-2}\right)$