$\left(2a\sqrt{3}-t\sqrt{2}\right)\left(2a\sqrt{3}+t\sqrt{2}\right)=4a^2$

$\frac{\left(x+y\right)^2-\left(x+y\right)}{xy}^2$

$\left(\frac{cos\left(x\right)+i\sin\left(x\right)}{\cos\left(x\right)-i\sin\left(x\right)}\right)^5$

$\left(-9+6\right)\left(+5-11\right)+\frac{3\left(-2+6\right)}{\left(-6\right)}$

$\lim_{x\to\infty}\left(\frac{x^2+x-12}{x-1}\right)$

$\left(a^3+2\right)^2$

$\int\frac{xe^{5x^2}}{2}dx$