计算(x²+x+1)(x²-x+1)(x²+x+1)(x²-x+1)=

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计算(x²+x+1)(x²-x+1)(x²+x+1)(x²-x+1)=计算(x²+x+1)(x²-x+1)(x²+x+1)(x&#

计算(x²+x+1)(x²-x+1)(x²+x+1)(x²-x+1)=
计算(x²+x+1)(x²-x+1)
(x²+x+1)(x²-x+1)
=

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

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

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

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