$\lim\:_{x\to\:0}\left(1+x\right)^{\frac{1}{2x}}$

$\left(a\left(x-1\right)-2b\left(x-1\right)\right)\left(2b\left(x-1\right)+a\left(x-1\right)\right)$

$-7x^4y+10x^4y$

$\frac{x-\frac{x^3}{6}}{1+x}$

$-5\cdot\left(-1\right)+\frac{\left(-3^3\right)}{9}$

$10-\left|-8-\left(4-7\right)+\left(-5-11\right)+2\right|-\left(3-9\right)$

$\frac{\left(4a^{2}b^{3}\right)^{2}}{\left(a^{3}b^{2}\right)^{5}}$