$\int\left(12x^2+4\right)\left(4x-8\right)^2dx$

$\left(5x+4\right)\left(4x-3\right)$

$\int_{-\infty}^{-3}\left(\frac{5x+12}{\left(x^2-4\right)^{\frac{3}{2}}}\right)dx$

$\lim_{x\to0}\left(\sqrt{x^2-x}-x\right)$

$\cos^2\left(x\right)-\frac{1}{2}=\sin^2\left(x\right)$

$\left(2ab+1\right)^4$

$\left(x+2y^2\right)\left(x-6y^2\right)$