因式分解(x^2-2)^2-(x^2-2)-2

问题描述:

因式分解(x^2-2)^2-(x^2-2)-2
RT

(x^2-2)^2-(x^2-2)-2
=[(x^2-2)+1][(x^2-2)-2]
=(x^2-1)(x^2-4)
=(x+1)(x-1)(x+2)(x-2).