若有理数a,b满足ab不等于0,且（a^2+b^2)^3=(a^3+b^3)^2+8a^3b^3,求a/b+b/a的值请写出过程.

若有理数a,b满足ab不等于0,且（a^2+b^2)^3=(a^3+b^3)^2+8a^3b^3,求a/b+b/a的值请写出过程.
若有理数a,b满足ab不等于0,且（a^2+b^2)^3=(a^3+b^3)^2+8a^3b^3,求a/b+b/a的值
请写出过程.

若有理数a,b满足ab不等于0,且（a^2+b^2)^3=(a^3+b^3)^2+8a^3b^3,求a/b+b/a的值请写出过程.
（a^2+b^2)^3=(a^3+b^3)^2+8a^3b^3
a^6+3a^4b^2+3a^2b^4+b^6=a^6+b^62a^3b^3+8a^3b^3
3a^4b^2+3a^2b^4=10a^3b^3
3a^2+3b^2=10ab
3a^2/10ab+3b^2/10ab=1
3/10(a/b+b/a)=1
a/b+b/a=10/3