百度作业网(x^21+x^15+x^12+x^9+x^6+x^3+1)/(x^2+x+1)
来源：学生作业帮 编辑：百度作业网作业帮 分类：数学作业 时间：2024/04/30 22:30:55
(x^21+x^15+x^12+x^9+x^6+x^3+1)/(x^2+x+1)
=x^18+x^15+x^12+x^9+x^6+x^3+1+x^3-1+5-4
分解因式
把下面的18换成21就是了
=(x^18+1)+(x^15+1)+(x^12+1)+(x^9+1)+(x^6+1)+(x^3+1)+(x^3-1)-4
=(x^18+1)+(x^15+1)+(x^12+1)+(x^9+1)+(x^6+1)+(x^6-1)-4
=(x^18+1)+(x^15+1)+(x^12+1)+(x^9+1)+(x^9-1)-4
=(x^18+1)+(x^15+1)+(x^12+1)+(x^12-1)-4
=(x^18+1)+(x^15+1)+(x^15-1)-4
=(x^18+1)+(x^18-1)-4
=x^36-5
分解因式
把下面的18换成21就是了
=(x^18+1)+(x^15+1)+(x^12+1)+(x^9+1)+(x^6+1)+(x^3+1)+(x^3-1)-4
=(x^18+1)+(x^15+1)+(x^12+1)+(x^9+1)+(x^6+1)+(x^6-1)-4
=(x^18+1)+(x^15+1)+(x^12+1)+(x^9+1)+(x^9-1)-4
=(x^18+1)+(x^15+1)+(x^12+1)+(x^12-1)-4
=(x^18+1)+(x^15+1)+(x^15-1)-4
=(x^18+1)+(x^18-1)-4
=x^36-5
(x^21+x^15+x^12+x^9+x^6+x^3+1)/(x^2+x+1)
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