![a)](/media/m/f/0/8/f0844437a160b45486aedcc02b92949d.png)
Rastavite na faktore izraz
![n^4+4](/media/m/c/5/4/c5443c2a5b97c37f7a6d03eb301b0f25.png)
.
![b)](/media/m/d/2/f/d2f292cd6a69e9158afe71ba9d830da4.png)
Dokažite da je
%V0
$a)$ Rastavite na faktore izraz $n^4+4$.
$b)$ Dokažite da je $$
\frac{\left( 1^4+\frac14 \right)\left( 3^4+\frac14 \right)
\left( 5^4+\frac14 \right)\ldots\left( 11^4+\frac14 \right)}
{\left( 2^4+\frac14 \right)\left( 4^4+\frac14 \right)
\left( 6^4+\frac14 \right)\ldots\left( 12^4+\frac14 \right)}=\frac1{313} \text{.}
$$