$\lim_{x\to\infty}\left(x^3e^{-3x}\right)$

$\frac{dy}{dx}=2\sqrt{y+1}$

$\frac{5}{6}a+1-\frac{7}{12}a+1$

$13=v-7$

$\:\frac{cos\left(x\right)\:\:+\:tan\left(x\right)}{sin\left(x\right)}\:=\:\:cot\left(x\right)\:\:+\:sec\left(x\right)$

$\left(8n-9m\right)\left(4n+6m\right)$

$xy+\left(1+x\right)y=e^{-x}\sin\left(2x\right)$