If z = 3 + 4i + 5 + 6i, find z^2. (Note that i^2 = -1.)
z = 3 + 4i + 5 + 6i = 8 + 10i
z^2 = ( 8 + 10i)^2 = 64 + 160i + 100i^2 = 64 + 160i + 100 (-1) = 64 + 160i - 100 =
-40 + 160i
