Question

x的5n次方+x的n次方+1因式分解怎么弄

Answer 1

原式=(x^5n-x^2n)+(x^2n+x^n+1)
=x^2n(x^3n-1)+(x^2n+x^n+1)
=x^2n(x^n-1)(x^2n+x^n+1)+(x^2n+x^n+1)
=(x^2n+x^n+1)(x^3n-x^2n+1)