$\sqrt[5]{x^4.y^2}.\sqrt[10]{x^6.y^8}$

$3\sqrt{x^3+9}\frac{dy}{dx}-4x^2sec\left(y\right)=0$

$\int2x\cdot\arctan\left(x\right)dx$

$\frac{m^3-27n^3}{m+3n}$

$2x+5x^2=0$

$\left(\frac{2}{3}x^3+\frac{1}{4}y^2\right)\left(\frac{2}{3}x^3-\frac{1}{4}y^2\right)$

$\lim_{x\to0}\left(1+\sin^2\left(2x\right)\right)^{\frac{3}{4}}$