(14+41)(34+41)…(1974+41)(1994+41)(24+41)(44+41)…(1984+41)(2004+41)=?
HINT: Write the expression (a4+4) as a product of two factors, where each one of those factors is equal to a sum of two squares.
Bonus: Simpify the following product.k=1∏n(2k−1)4+41(2k)4+41