Помогите решить , умножения комплексных чисел
1) (√2+i√3)(√2-i√3)
2) (5-2i)^2
3) (2+i)^3 + i^27
1) (√2+i√3)(√2-i√3)
2) (5-2i)^2
3) (2+i)^3 + i^27
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1) (√2+i√3)(√2-i√3)=(√2)²-(i√3)²=2-3i²=2-3(-1)=2+3=52)(5-2i)²=5²-2*5*2i+(2i)²=25-20i+4(-1)=25-20i-4=21-20i
3)(2+i)³+i^{27}=2³+3*2²*i+3*2*i²+i³+(i²)^{13}*i = 8+12i+6(-1)-i²*i+(-1)*i=
=8+12i-6-(-1)i -i= 2+12i+i-i=2+12i