(x+1)(x-1)(x²-x+1)(x²+x+1)这一道题应该怎么算

题目

(x+1)(x-1)(x²-x+1)(x²+x+1)这一道题应该怎么算

答案

(x+1)(x-1)(x²-x+1)(x²+x+1)
=[(x+1）（x²-x+1）][(x-1)(x²+x+1）]
=(x^3+1)(x^3-1)
=x^6-1
就是立方公式
祝开心