设x/(x^2-mx 1)=1,则x^3/(x^6-m^3x^3 1)的值?
问题描述：
设x/(x^2-mx 1)=1,则x^3/(x^6-m^3x^3 1)的值?
答
x/(x^2-mx+1)=1x=x^2-mx+1两边除以x1=x-m+1/xx+1/x=m+1两边平方x²+2+1/x²=m²+2m+1x²+1/x²=m²+2m-1x³+1/x³=(x+1/x)(x²-x×1/x+1/x²)=(m+1)(m²+2m-1-1)=m&sup...