$1-\left(\sin\left(a\right)+\cos\left(a\right)\right)^2$

$\lim_{x\to0}\left(\frac{1}{1-\cos\:\left(x\right)}-\frac{2}{x^3}\right)$

$\int\left(3x+4\right)^{12}dx$

$\frac{cos\left(x\right)-cos\left(5x\right)}{2sin\left(3x\right)}=sin\left(2x\right)$

$\lim_{x\to0}\left(6sin\left(x\right)^{8tan\left(x\right)}\right)$

$\left(x-1\right)^2\left(x^2-1\right)$

$4x-5x+3$