$x^2y-4x^3+16=0$

$\:a^2+b^2-2b^2-3a^2-a^2+b^2$

$2x^2-8x+16$

$\frac{sinx\left(3sin^2x+4cos^2x\right)}{tanx}$

$\:\:\:8\:-\:6g\:-\:2\left(3g\:-\:4\right)\:\:$

$\left(e^{2y}-y\right)\cos\left(x\right)y'=e^y\sin\left(2x\right)$

$\lim_{x\to\infty}\left(\frac{6x^2+3}{3x^2-x-12}\right)$