Can you factorize these squares?

Algebra Level 2

{a2−b2=5c2+d2=74(ac)2−(bd)2=341(ad)2−(bc)2=?{\begin{cases} a^2 - b^2 &=& 5 \\ c^2 + d^2 &=& 74 \\ (ac)^2 - (bd)^2 &=& 341 \\ (ad)^2 - (bc)^2 &=& ? \end{cases} }

Considering the constraints above, what is the value of the last equation?

Worranat Pakornrat by Worranat Pakornrat
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