$\frac{a^{2}b^{2}c^{2}}{4}\frac{5a^{5}b^{3}}{3}$

$0.5\left(4m^2+16m+8\right)$

$\lim_{x\to\infty}\left(xsin\left(\frac{2\pi}{x}\right)\right)$

$\frac{\left(1+\sin\left(y\right)\right)^2+\left(\cos\left(y\right)\right)^2}{\cos\left(y\right)\cdot\left(1+\sin\left(y\right)\right)}=2\sec\left(y\right)$

$\:\left(\frac{x}{3}+\frac{2}{y}\right)^4$

$\int\left(\left(x^2+2x+1\right)\cdot x\right)dx$

$\int\left(4x^2+5\right)^{\frac{1}{2}}\left(8x\right)dx$