复数计算 (1-根号3i)^10-(1+根号3i)^10=?
问题描述：
复数计算 (1-根号3i)^10-(1+根号3i)^10=?
答
解析：(1-根号3i)^10=2^10 ×(1/2 -根号3/2 ×i)^10=2^10 ×[cos(-π/3)+sin(-π/3)×i]^10=2^10 ×[cos(-10π/3)+sin(-10π/3)×i]=2^10 ×[cos(2π/3)+sin(2π/3)×i]=2^10 ×（-1/2+根号3/2×i ）而 (1+根号3i)^1...