(x-1-√2i)(x-1+√2i)(x-2+√3i)(x-2-√3i)

问题描述:

(x-1-√2i)(x-1+√2i)(x-2+√3i)(x-2-√3i)

用平方差公式(a+b)(a-b)=a的平方-b的平方
所以
(x-1-√2i)(x-1+√2i)(x-2+√3i)(x-2-√3i)
=[(x-1)的平方-(√2i)的平方][(x-2)的平方-(√3i)的平方]
=(x^2-2x+3)(x^2-4x+7)
=x^4-6x^3+18x^2-26x+31