$\left(\frac{1}{2}a^2\:+\:2b\right)^2$

$\int\frac{x^5}{\sqrt{3-x^2}}dx$

$-21-\left(-7\right)+4x\left(-7\right)-12$

$\frac{4}{x-3}+\frac{6}{x-4}=\frac{x^2-25}{x^2-7x+12}$

$\lim_{x\to3}\left(\frac{\sqrt{2x-4}-3}{x-5}\right)$

$\int_3^{\infty}\left(\frac{x+12}{x^3}\right)dx$

$\frac{4}{5x^2}=\frac{1}{5}+\frac{3}{5}$