$\left(x-2\right)^2-3\left(x+6\right)=4$

$\frac{12x^3+10x^2+5x+3}{3x+1}$

$\log_a\left(x^n\right)=n\cdot\log_a\left(x\right)$

$-2cosx=0$

$\lim_{x\to0}\left(\frac{sin\left(9x\right)}{tan\left(3x\right)}\right)$

$5x^2\:+\:20x\:+\:5y^2\:+\:45y\:=\:0$

$x^2-\frac{8}{5}x+\left(-\frac{4}{5}\right)^2$