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a^{3}+3ia^{2}-3a-i
Use binomial theorem \left(p+q\right)^{3}=p^{3}+3p^{2}q+3pq^{2}+q^{3} to expand \left(a+i\right)^{3}.
a^{3}+3ia^{2}-3a-i
Use binomial theorem \left(p+q\right)^{3}=p^{3}+3p^{2}q+3pq^{2}+q^{3} to expand \left(a+i\right)^{3}.