Question

X的八次方+X六次方+X四次方+X平方+1 要求分解因式

Answer 1

(x^8+x^6+x^4+x^2+1)

=(x^2-1)(x^8+x^6+x^4+x^2+1)/(x^2-1)

=(x^10-1)/(x^2-1)

=(x^5+1)(x^5-1)/(x^2-1)

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

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