$\frac{dy}{dx}-y=12e^2$

$y'=\frac{3x}{y+4}$

$\frac{d^4}{dx^4}\left(2x^7-x^5+5x^3-8x+4\right)$

$3x^2-6x-4y^2=9$

$100\:.\:-2\:500$

$\left(m+3\right)\left(m^2-3m+9\right)$

$\frac{3}{4}x^2+\frac{2}{3}y^2-\frac{1}{3}xy+\frac{1}{9}y^2+\frac{1}{9}y^2+\frac{1}{6}xy-\frac{1}{3}y^2$