$\lim_{x\to1}\left(\frac{x^{12}-1}{x^6+x-2}\right)$

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

$\left(2xy\right)^3+\left(3xy\right)^2-\left(3xy\right)^3$

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

$3n+3=24$

$\frac{\left(1-sin\left(x\right)\left(1+sin\left(x\right)\right)\right)}{cos^3x}$

$\left(n-1\right)\left(n+1\right)=n^2\:-\:1$