Question

(x^2-4x+2)(x^2-4x+6)因式分解

Answer 1

(x^2-4x+2)(x^2-4x+6)

=(x-2+√2)(x-2-√2)(x^2-4x+6)

（x^2-2x)(x^2-2x+2)+1

=(x^2-2x)^2+2(x^2-2x)+1

=(x^2-2x+1)^2

=(x-1)^4