$\lim_{x\to\infty}\left(xln\left(\frac{x^3+3x^2+5x}{x^3}\right)\right)$

$4a^2-2b$

$\int\frac{4x^2-x+8}{x\left(x^2+8\right)}dx$

$\frac{40xy^2}{2^3xy}$

$y=\sqrt[2]{\frac{2x+3}{5-x}}$

$\left(8a^2-12b^2-5a+3b\right)-\left(5a^2-7b^2-a+2\right)$

$\left(x-y\right)\left(x+2y\right)$