计算(x²+x+1)(x²-x+1)

问题描述:

计算(x²+x+1)(x²-x+1)
(x²+x+1)(x²-x+1)
=

(x²+x+1)(x²-x+1)=
(x²+1+x)(x²+1-x)=
(x² + 1)² - x² =
x^4 + 2x² + 1 - x² =
x^4 + x² + 1