$\frac{d}{dx}\sin2x-3x\ln y$

$\frac{7}{2}mn\frac{2}{13}$

$3\sqrt{\frac{27x^3}{216y^6}}$

$\lim_{x\to\infty}\left(\frac{4x-3}{4x+5}\right)^{3x+1}$

$-4\left(x+1\right)\left(x^2-x+1\right)+3x\left(x-1\right)^2-2\left(x-3\right)\left(x+3\right)$

$a^8+7a^{-\frac{3}{5}}=\frac{\left(a^{\frac{32}{5}}+7\right)}{a^{\frac{3}{5}}}$

$9p+10p$