x^24+x^23+x^22+……+x+1
=(1-x^25)/(1-x),
x^3+x^2-x-1=x^2*(x+1)-(x+1)=(x+1)(x^2-1)=(x-1)(x+1)^2,
∴原式=(x^25-1)/(x-1)*1/(x^8+1)*(x-1)(x+1)^2*1/(x-1)*1/(x^4+1)
=(x^25-1)(x+1)^2/[(x-1)(x^4+1)(x^8+1)],
繁!请检查题目