$\lim_{x\to0}\left(\frac{x^3}{\sqrt{x^2+25}-5}\right)$

$-2x^2-5x+2$

$\left(x^3-2x^2+9\right)\left(x+2\right)$

$\lim\:_{x\to\:\infty\:}\left(\frac{e^{\frac{x}{10}}}{x^3}\right)$

$\int\left(2x^2-5\right)^2\left(x-\frac{5}{4}\right)dx$

$\frac{15\:x^9}{5\:x^{15}}$

$\left(2x^{\frac{5}{8}}8x\right)^2$