$12x^2+24xy+9y^2$

$x^2y\:+\:2xy\:=\:ln\left(x\right)\:$

$\frac{5^n}{\sqrt{2n}}$

$x^2\left(1-y\right)+y^2\left(1-y\right)$

$\frac{d}{dx}\left(y=\left(\sin^3x\right)\left(\cos^2\left(x\right)\right)\right)$

$-3\left(-2x-8\right)$

$\int\frac{\sec^2x}{\left(1+\tan\right)^2}dx$