$\left(2x+3\right)\left(x^2+3x+8\right)$

$\frac{1+\tan\left(y\right)}{1+\cos\left(y\right)}=\tan\left(y\right)$

$\tan\frac{a}{2}\left(\cos a+1\right)=\sin a$

$\int\frac{x}{\left(3x+1\right)^{2}}dx$

$x^3+2x^2+5x$

$u\:+\:\left(v\:+\:w\right)\:=\:\left(u\:+v\right)\:+\:w$

$\lim_{x\to\infty}\left(\frac{4x^3-3x^2+2}{2x^3+7x-5}\right)$