已知b^2=ac,求a^2b^2c^2/a^3+b^3+c^3*1/a^3+1/b^3+1/c^3的值
问题描述：
已知b^2=ac,求a^2b^2c^2/a^3+b^3+c^3*1/a^3+1/b^3+1/c^3的值
答
[(a^2b^2c^2)/(a^3+b^3+c^3)]*[1/a^3+1/b^3+1/c^3]=(a^2b^2c^2)(1/a^3+1/b^3+1/c^3)/(a^3+b^3+c^3)=[(b^2c^2/a)+(a^2c^2/b)+(a^2b^2/c)]/(a^3+b^3+c^3)已知b^2=ac,(ac)^2=b^4,带入上式=[ac*c^2/a+b^4/b+a^2*ac/c]/(a...