$\left(\frac{8}{3}u^2\frac{1}{9}v^2\right)^2$

$\frac{\frac{x^4}{x+10}}{\frac{x^2}{x^2+17x+70}}$

$\int\frac{1}{\left(x+3\right)\left(x-4\right)}dx$

$16a^2-72a+81$

$\frac{dy}{dx}-y\cdot tan\left(x\right)=cos\left(x\right)-2\cdot x\cdot sin\left(x\right)$

$\frac{dy}{dx}=\:\left(\frac{x+y}{2x}\right)$

$\int_0^{2\pi}\left(\left(1+3\sin\left(x\right)\right)\cdot sin\left(x\right)\right)dx$