$\left(a^{n-1}+b^{nm-1}\right)\left(a^{n-1}-b^{nm-6}\right)$

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

$-18=p\:-15$

$\lim\:_{x\to\:0}\left(\frac{3x^2-6x}{2e^x-2x-2}\right)$

$\int_1^2x^2\log\left(x\right)dx$

$\frac{x^2-\left(y+2\right)}{xy-y^2-2y}$

$\lim_{x\to4}\left(\frac{arctan\:\left(\frac{\sqrt{x}}{2}\right)-\frac{3.1416}{4}}{4x-x^2}\right)$