原式=（x^2)^4+(x^2)^3+(x^2)^2+(x^2)^1+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-1)(x+1)=(x^4+x^3+x^2+x+1)(x^4-x^3+x^2-x+1)对了,告诉你两个公式：a^n-b^n=(a-b)(a^(n-1)+a^（n...