$\left(1-y\right)dx=2\left(1+x\right)dy$

$\frac{8a^9+y^3}{2a^3+y^3}$

$\lim_{x\to\infty}\left(\frac{2x-1}{2x+5}\right)\frac{2x+1}{3}$

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

$\lim_{x\to\infty}\left(\frac{3x^2-x+10}{x^2+5}\right)$

$\left(q^2\right)\left(2q^4\right)$

$\int\frac{5x+15}{x^2-x-6}dx$