Question

please answer with proper steps and explanation

Answer 1

(a^2+b^2)^3=(a^3+b^3)^2,
a^6+b^6+3a^4b^2+3a^2b^4=a^6+b^6+2a^3b^3,
then devide both side with a^3b^3 /3.
a/b+b/a=2/3