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x^{2}+\left(6+10i\right)x+\left(-16+30i\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+\left(3+5i\right)\right)^{2}.
x^{2}+\left(6+10i\right)x+\left(-16+30i\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+\left(3+5i\right)\right)^{2}.