x-1/x=3求(x^10+x^8+x^2+1)/(x^10+x^6+x^4+1)的值

(x^10+x^8+x^2+1)/(x^10+x^6+x^4+1) ={(x^8+1)(x^2+1)}/{(x^4+1)(x^6+1)} ={(x^8+1)(x^2+1)}/{(x^4+1)(x^2+1)(x^4-x^2+1)} =(x^8+1)/{(x^4+1)(x^4-x^2+1)} =(x^4+1/x^4)/{(x^2+1/x^2)(x^2+1/x^2-1)}…………………………（1） 将分子分母同时除以x^4，得 =（x^