$8sin^2x$

$\int_4^6\left(\left(\sqrt{x}\right)\frac{1}{2}x\:+\:2\sqrt{x}\right)dx$

$\left(\frac{1}{3}a-\frac{2}{5}b\right)^2$

$\sqrt{3}^{20}$

$\frac{\left(\frac{18}{17}\right)x^4-3x^2+\left(\frac{10}{17}\right)x+1}{x+1}$

$100a^2b^3c-150ab^2c^2+50b^3c^3-200ab$

$\int\left(5x^2sin\left(\frac{3}{2}x^3-\frac{5}{2}\right)\right)dx$