(x-2)(x+2)(x^4+4x^2+16)

问题描述:

(x-2)(x+2)(x^4+4x^2+16)

=(x²-4)×(x²+4)²
=(x^4-16)×(x²+4)
=x^6+4x^4-16x^2-64

=(x-2)×[(x²+4)²-4x²]×(x+2)
=(x-2)(x²+2x+4)(x²-2x+4)(x+2)
=(x³-8)(x³+8)
=x^6-64