$\left(5\sqrt{2}\right).\left(3\sqrt{12}\right)$

$x^2+82x-9$

$\lim_{x\to\infty}\left(x\left(x+1\right)+1\right)$

$\frac{1}{100}-x^2^n$

$16v-4-15v^2$

$\lim_{x\to\infty}\left(\frac{\left(ln\left(x\right)\right)^3}{x}\right)$

$\left(\frac{1}{2}x^3-x^2\right)\cdot\left(8x^3+\frac{1}{2}\right)$