x的五次方-1因式分解

Question

如题所述

Answer 1

x的五次方-1
=x^5-x^3+x^3-1
=x^3(x^2-1)+(x-1)(x^2+x+1)
=x^3(x+1)(x-1)+(x-1)(x^2+x+1)
=(x-1)(x^4+x^3+x^2+x+1)本回答被提问者采纳

Answer 2

x^5-1
=x^5-x^4+x^4-x^3+x^3-x^2+x^2-x+x-1
=x^4(x-1)+x^3(x-1)+x^2(x-1)+x(x-1)+(x-1)
=(x^4+x^3+x^2+x+1) (x-1)

Answer 3

哪个变态出的题目，现在都课改了，还出这种题目？有什么意义？何时会用到这种变形？