$\left(\frac{1}{3}x+\frac{1}{3}y\right)\left(\frac{4}{5}x\right)$

$\lim\:_{\delta\:\:x\to\:0}\frac{\frac{1}{x+\delta\:\:x}-\frac{1}{x}}{\delta\:\:x}$

$\:\sqrt[3]{432x^5y^5}\:$

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

$x+y-\left(x+2xy\right)+\left|-x+y\right|$

$9x+9y-2x^3=-6$

$\left(2\sqrt{3}+3\sqrt{2}\right)\left(2\sqrt{3}-3\sqrt{2}\right)$