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a^{2}+8ia-16
Use binomial theorem \left(p+q\right)^{2}=p^{2}+2pq+q^{2} to expand \left(a+4i\right)^{2}.
a^{2}+8ia-16
Use binomial theorem \left(p+q\right)^{2}=p^{2}+2pq+q^{2} to expand \left(a+4i\right)^{2}.