SOLUTION: {{{ (x + (3+5i))^2 }}}

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Question 856143: +%28x+%2B+%283%2B5i%29%29%5E2+
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use the FOIL method,
+%28x+%2B+%283%2B5i%29%29%5E2+=%28x+%2B+%283%2B5i%29%29%28x+%2B+%283%2B5i%29%29
First : x%5E2=x%5E2
Outer : x%283%2B5i%29=%283%2B5i%29x
Inner : %283%2B5i%29x=%283%2B5i%29x
Last : %283%2B5i%29%283%2B5i%29=9%2B15i%2B15i%2B25i%5E2=%289-25%29%2B30i=-16%2B30i
Add it all together,
+%28x+%2B+%283%2B5i%29%29%5E2+=x%5E2%2B2%283%2B5i%29x-16%2B30i