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\left(a-ib\right)^{2}
Multiply -1 and i to get -i.
a^{2}-2iab-b^{2}
Use binomial theorem \left(p+q\right)^{2}=p^{2}+2pq+q^{2} to expand \left(a-ib\right)^{2}.
\left(a-ib\right)^{2}
Multiply -1 and i to get -i.
a^{2}-2iab-b^{2}
Use binomial theorem \left(p+q\right)^{2}=p^{2}+2pq+q^{2} to expand \left(a-ib\right)^{2}.