Question: Simplify

$\frac{\sqrt[3]{a}{a}^2}{\sqrt[3]{a^3+1}}=,\frac{a^2{a}^4}{\sqrt[\phantom{2}]{a^2+b^2}}=$

$\frac{(x^2-1)cosx}{(x-1)x}=,\frac{(x^2+1)(x^3-1)}{(x-1)sin(x^3-1)}=$

$e^{(4+x)lnx}=,\frac{ln(x+1)}{ln{e}^{x^2-1}}=$

$\frac{(x-1)sinxln(x^2+1)}{x(x^2+x-2)(x^2+1)}=,\frac{(x^3+2x^2-3)sin(\frac{1}{x})}{(x^2-1)(x^2+1)\frac{1}{x}}=$

$|3--x^2|=,|ln{x}^2+ln1|=$