First, distribute the terms:

(i63 + i17 + i13 + i82)(i72 - i34) = i63i72 + i63(-i34) + i17i72 + i17(-i34) + i13i72 + i13(-i34) + i82i72 + i82(-i34)

Simplify each term:

i63i72 = -4536
i63(-i34) = -2142i
i17i72 = 1224i
i17(-i34) = -578i
i13i72 = 936i
i13(-i34) = -442i
i82i72 = 5904i
i82(-i34) = -2788i

Combine like terms:

-4536 + 1224i - 442i + 5904i - 2142i - 578i - 2788i
= -4536 - 2198i

Therefore, (i63 + i17 + i13 + i82)(i72 - i34) simplifies to -4536 - 2198i.