$\frac{2^n+1}{3n^2+1}\cdot\:\left(x-1\right)^n$

$\int\frac{a+a^2+3+a^3}{4a^2+3+a^4}da$

$\left(x\:+\:5\right)m\:+\:\left(x\:+\:5\right)n\:$

$\int e^{\frac{-1}{4}x}\cdot\sin\left(\frac{\sqrt[2]{15}}{2}x\right)dx$

$5a\:+\:10b\:+\:20c\:=\:5\left(a\:+\:2b\:+\:4c\right)$

$\frac{n^ex^n}{e^n}$

$\left(x+8\right)\left(x-3\right)<0$