$\left(\frac{1}{b}\right)^{5\:}.\left(\frac{1}{b}\right)^2.\left(\frac{1}{b}\right)^{-3}$

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

$\log3x=\log12$

$\csc\left(x\right)\left(\sec x-1\right)-\cot x\left(1-\cos x\right)$

$12y^4+6y^2=0$

$m\:=\:\left(x\:+\:4\right)\:\left(4\:-\:x\right)$

$\int\frac{-9x^2-9}{x\left(x^2+9\right)}dx$