G4.1 If $P=2 \sqrt[4]{2007 \cdot 2009 \cdot 2011 \cdot 2013+10 \cdot 2010 \cdot 2010-9}-4000$, find the value of $P$.
$\begin{array}{l}\text { Let } x=2010,2007=x-3,2009=x-1,2011=x+1,2013=x+3 \\ P=2 \sqrt[4]{(x-3) \cdot(x-1) \cdot(x+1) \cdot(x+3)+10 x^{2}-9}-4000=2 \sqrt[4]{\left(x^{2}-9\right) \cdot\left(x^{2}-1\right)+10 x^{2}-9}-4000 \\ =2 \sqrt[4]{x^{4}-10 x^{2}+9+10 x^{2}-9}-4000=2 x-4000=20 \\\end{array}$