Evaluate
-\left(3x-2i\right)^{2}+76
Expand
80+12ix-9x^{2}
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76-\left(9x^{2}-12ix-4\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(3x-2i\right)^{2}.
76-9x^{2}+12ix+4
To find the opposite of 9x^{2}-12ix-4, find the opposite of each term.
80-9x^{2}+12ix
Add 76 and 4 to get 80.
76-\left(9x^{2}-12ix-4\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(3x-2i\right)^{2}.
76-9x^{2}+12ix+4
To find the opposite of 9x^{2}-12ix-4, find the opposite of each term.
80-9x^{2}+12ix
Add 76 and 4 to get 80.
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